How to find a rectangle on a coordinate plane - SSAT Middle Level Quantitative
Card 1 of 16
Dr. Robinson recently put a rectangular fence around his backyard. The fence has a width of 
yards and a length of 
yards. If Dr. Robinson paid 
for every yard of fence, how much did the fence cost?
Dr. Robinson recently put a rectangular fence around his backyard. The fence has a width of
Tap to reveal answer
To find the cost of the fence, apply the formula 
in order to first find the length of the perimeter of the fence.
Then multiply the perimeter by 
.
Thus, the solution is:
To find the cost of the fence, apply the formula
Then multiply the perimeter by
Thus, the solution is:
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In the above figure Dr. Robinson's shed is represented by the red square, and the shed has a perimeter of 
yards. Find how much area Dr. Robinson has in his backyard--excluding the area that the shed occupies.
In the above figure Dr. Robinson's shed is represented by the red square, and the shed has a perimeter of
Tap to reveal answer
To find how much area Dr. Robinson has around his shed in his backyard, first apply the formula: 
, where 
represents one side of the red shed. Given that 
must equal 
because 
.
Now you have enough information to find the area of the red shed.
Apply the formula: 
Since the rectangular fence has a width of 
yards and a length of 
yards, apply the formula: 
in order to find the area of the entire backyard.
Thus,
Then simply find the difference between the area of the entire yard and the area of the shed.
Thus the final solution is:
To find how much area Dr. Robinson has around his shed in his backyard, first apply the formula:
Now you have enough information to find the area of the red shed.
Apply the formula:
Since the rectangular fence has a width of
Thus,
Then simply find the difference between the area of the entire yard and the area of the shed.
Thus the final solution is:
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Identify the correct set of coordinates for rectangle 
.
Identify the correct set of coordinates for rectangle
Tap to reveal answer
To identify the correct set of coordinate points for rectangle 
, note that the correct set must have two sets of matching 
coordinates and two sets of matching 
coordinates. The only answer choice that meets these specifications is:
To identify the correct set of coordinate points for rectangle
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The rectangle shown above has a width of 
and a length of 
. Find the area and perimeter of the rectangle.
The rectangle shown above has a width of
Tap to reveal answer
To solve this problem apply the formulas: 
& 
Thus, the solution is:
To solve this problem apply the formulas:
Thus, the solution is:
← Didn't Know|Knew It →
Dr. Robinson recently put a rectangular fence around his backyard. The fence has a width of yards and a length of yards. If Dr. Robinson paid for every yard of fence, how much did the fence cost?
Dr. Robinson recently put a rectangular fence around his backyard. The fence has a width of
Tap to reveal answer
To find the cost of the fence, apply the formula in order to first find the length of the perimeter of the fence.
Then multiply the perimeter by .
Thus, the solution is:
To find the cost of the fence, apply the formula
Then multiply the perimeter by
Thus, the solution is:
← Didn't Know|Knew It →
In the above figure Dr. Robinson's shed is represented by the red square, and the shed has a perimeter of yards. Find how much area Dr. Robinson has in his backyard--excluding the area that the shed occupies.
In the above figure Dr. Robinson's shed is represented by the red square, and the shed has a perimeter of
Tap to reveal answer
To find how much area Dr. Robinson has around his shed in his backyard, first apply the formula: , where represents one side of the red shed. Given that
must equal because .
Now you have enough information to find the area of the red shed.
Apply the formula:
Since the rectangular fence has a width of yards and a length of yards, apply the formula: in order to find the area of the entire backyard.
Thus,
Then simply find the difference between the area of the entire yard and the area of the shed.
Thus the final solution is:
To find how much area Dr. Robinson has around his shed in his backyard, first apply the formula:
Now you have enough information to find the area of the red shed.
Apply the formula:
Since the rectangular fence has a width of
Thus,
Then simply find the difference between the area of the entire yard and the area of the shed.
Thus the final solution is:
← Didn't Know|Knew It →
Identify the correct set of coordinates for rectangle .
Identify the correct set of coordinates for rectangle
Tap to reveal answer
To identify the correct set of coordinate points for rectangle , note that the correct set must have two sets of matching coordinates and two sets of matching coordinates. The only answer choice that meets these specifications is:
To identify the correct set of coordinate points for rectangle
← Didn't Know|Knew It →
The rectangle shown above has a width of and a length of . Find the area and perimeter of the rectangle.
The rectangle shown above has a width of
Tap to reveal answer
To solve this problem apply the formulas: &
Thus, the solution is:
To solve this problem apply the formulas:
Thus, the solution is:
← Didn't Know|Knew It →
Dr. Robinson recently put a rectangular fence around his backyard. The fence has a width of yards and a length of yards. If Dr. Robinson paid for every yard of fence, how much did the fence cost?
Dr. Robinson recently put a rectangular fence around his backyard. The fence has a width of
Tap to reveal answer
To find the cost of the fence, apply the formula in order to first find the length of the perimeter of the fence.
Then multiply the perimeter by .
Thus, the solution is:
To find the cost of the fence, apply the formula
Then multiply the perimeter by
Thus, the solution is:
← Didn't Know|Knew It →
In the above figure Dr. Robinson's shed is represented by the red square, and the shed has a perimeter of yards. Find how much area Dr. Robinson has in his backyard--excluding the area that the shed occupies.
In the above figure Dr. Robinson's shed is represented by the red square, and the shed has a perimeter of
Tap to reveal answer
To find how much area Dr. Robinson has around his shed in his backyard, first apply the formula: , where represents one side of the red shed. Given that
must equal because .
Now you have enough information to find the area of the red shed.
Apply the formula:
Since the rectangular fence has a width of yards and a length of yards, apply the formula: in order to find the area of the entire backyard.
Thus,
Then simply find the difference between the area of the entire yard and the area of the shed.
Thus the final solution is:
To find how much area Dr. Robinson has around his shed in his backyard, first apply the formula:
Now you have enough information to find the area of the red shed.
Apply the formula:
Since the rectangular fence has a width of
Thus,
Then simply find the difference between the area of the entire yard and the area of the shed.
Thus the final solution is:
← Didn't Know|Knew It →
Identify the correct set of coordinates for rectangle .
Identify the correct set of coordinates for rectangle
Tap to reveal answer
To identify the correct set of coordinate points for rectangle , note that the correct set must have two sets of matching coordinates and two sets of matching coordinates. The only answer choice that meets these specifications is:
To identify the correct set of coordinate points for rectangle
← Didn't Know|Knew It →
The rectangle shown above has a width of and a length of . Find the area and perimeter of the rectangle.
The rectangle shown above has a width of
Tap to reveal answer
To solve this problem apply the formulas: &
Thus, the solution is:
To solve this problem apply the formulas:
Thus, the solution is:
← Didn't Know|Knew It →
Dr. Robinson recently put a rectangular fence around his backyard. The fence has a width of yards and a length of yards. If Dr. Robinson paid for every yard of fence, how much did the fence cost?
Dr. Robinson recently put a rectangular fence around his backyard. The fence has a width of
Tap to reveal answer
To find the cost of the fence, apply the formula in order to first find the length of the perimeter of the fence.
Then multiply the perimeter by .
Thus, the solution is:
To find the cost of the fence, apply the formula
Then multiply the perimeter by
Thus, the solution is:
← Didn't Know|Knew It →
In the above figure Dr. Robinson's shed is represented by the red square, and the shed has a perimeter of yards. Find how much area Dr. Robinson has in his backyard--excluding the area that the shed occupies.
In the above figure Dr. Robinson's shed is represented by the red square, and the shed has a perimeter of
Tap to reveal answer
To find how much area Dr. Robinson has around his shed in his backyard, first apply the formula: , where represents one side of the red shed. Given that
must equal because .
Now you have enough information to find the area of the red shed.
Apply the formula:
Since the rectangular fence has a width of yards and a length of yards, apply the formula: in order to find the area of the entire backyard.
Thus,
Then simply find the difference between the area of the entire yard and the area of the shed.
Thus the final solution is:
To find how much area Dr. Robinson has around his shed in his backyard, first apply the formula:
Now you have enough information to find the area of the red shed.
Apply the formula:
Since the rectangular fence has a width of
Thus,
Then simply find the difference between the area of the entire yard and the area of the shed.
Thus the final solution is:
← Didn't Know|Knew It →
Identify the correct set of coordinates for rectangle .
Identify the correct set of coordinates for rectangle
Tap to reveal answer
To identify the correct set of coordinate points for rectangle , note that the correct set must have two sets of matching coordinates and two sets of matching coordinates. The only answer choice that meets these specifications is:
To identify the correct set of coordinate points for rectangle
← Didn't Know|Knew It →
The rectangle shown above has a width of and a length of . Find the area and perimeter of the rectangle.
The rectangle shown above has a width of
Tap to reveal answer
To solve this problem apply the formulas: &
Thus, the solution is:
To solve this problem apply the formulas:
Thus, the solution is:
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