Quadrilaterals - SSAT Middle Level Quantitative
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Find the area:
Find the area:
The area of a parallelogram can be determined using the following equation:
Therefore,
The area of a parallelogram can be determined using the following equation:
Therefore,
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Find the area of the given parallelogram if 
.
Find the area of the given parallelogram if
In order to find the area of a parallelogram, we need to find the product of the base length and height.
Notice that only two of the given values were needed to slove this problem.
In order to find the area of a parallelogram, we need to find the product of the base length and height.
Notice that only two of the given values were needed to slove this problem.
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A given parallelogram has a base 
in length, a height 
in length, and a side of length 
opposite the height. What is the area of the parallelogram?
A given parallelogram has a base
The formula for the area of a parallelogram is 
, with base and height represented by 
and 
, respectively. Substituting values from the question:
The formula for the area of a parallelogram is
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A parallelogram has a height of 
in length, a side of length 
opposite the height, and a base of 
. What is the area of the parallelogram?
A parallelogram has a height of
Given base 
and height 
, 
.
Substituting the values from our question:
Given base
Substituting the values from our question:
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A parallelogram has a base of length 
, a height of length 
, and a side of length 
. What is the area of the parallelogram?
A parallelogram has a base of length
Given base and height , .
Substituting the values from our question:
Given base
Substituting the values from our question:
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Find the area of a parallelogram with a height of 
, a base of 
, and a side length of 
.
Find the area of a parallelogram with a height of
The area 
of a parallelogram with height 
and base 
can be found with the equation 
. Consequently:
The area
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Find the area of a parallelogram with a height of 
, base of 
, and a side length of 
.
Find the area of a parallelogram with a height of
The area 
of a parallelogram with height 
and base 
can be found with the equation 
. Consequently:
The area
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Find the perimeter of the parallelogram if h=
, b=
, and c=
.
Find the perimeter of the parallelogram if h=
In order to find the perimeter, find the sum of each OUTER side: 
Notice the height isn't used in this calculation.
Keep in mind that the sides directly opposite of each other are of the same length. This is why we have 
and 
appearing twice in our work.
In order to find the perimeter, find the sum of each OUTER side:
Notice the height isn't used in this calculation.
Keep in mind that the sides directly opposite of each other are of the same length. This is why we have
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Find the perimeter of the given parallelogram if 
Find the perimeter of the given parallelogram if
In order to find the perimeter, we find the sum of the OUTER sides:
Notice that we didn't use the height in our calculation.
In order to find the perimeter, we find the sum of the OUTER sides:
Notice that we didn't use the height in our calculation.
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Find the perimeter of the given parallelogram if 
Find the perimeter of the given parallelogram if
In order to find the perimeter of the parallelogram, we must add the OUTER edges:
Notice that we didn't use height in our calculation.
In order to find the perimeter of the parallelogram, we must add the OUTER edges:
Notice that we didn't use height in our calculation.
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Find the perimeter of the given parallelogram if 
Find the perimeter of the given parallelogram if
In order to find the perimeter, we must find the sum of the outer edges:
Notice that we didn't use height in our calculation.
In order to find the perimeter, we must find the sum of the outer edges:
Notice that we didn't use height in our calculation.
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Find the perimeter of the given parallelogram if 
Find the perimeter of the given parallelogram if
In order to find the perimeter, we need to find the sum of the outer edges:
Notice that we didn't use height in our calculation.
In order to find the perimeter, we need to find the sum of the outer edges:
Notice that we didn't use height in our calculation.
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Find the perimeter of the given parallelogram if 
Find the perimeter of the given parallelogram if
In order to find the perimeter, we must find the sum of the outer edges: 
Notice that we didn't use height in our calculation.
In order to find the perimeter, we must find the sum of the outer edges:
Notice that we didn't use height in our calculation.
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Find the area of a parallelogram with base length 
and side length 
.
Find the area of a parallelogram with base length
The area 
of a parallelogram with height 
and base 
can be found with the equation 
. However, while we have been given the length of the base and of another side of the parallelogram, we still do not know the length of the base. Therefore, we do not have enough information to find the area.
The area
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Find the perimeter of a parallelogram with a height of 
, a base of 
, and a side of length 
.
Find the perimeter of a parallelogram with a height of
The perimeter of a parallelogram is the sum of the length of its sides. Since we know the length of the base and of another side, we know that the remaining sides of the parallelogram match those lengths. Therefore:
The perimeter of a parallelogram is the sum of the length of its sides. Since we know the length of the base and of another side, we know that the remaining sides of the parallelogram match those lengths. Therefore:
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What is the area of a trapezoid with height 20 inches and bases of length 100 and 200?
What is the area of a trapezoid with height 20 inches and bases of length 100 and 200?
Set 
, 
, 
.
The area of a trapezoid can be found using this formula:
The area is 3,000 square inches.
Set
The area of a trapezoid can be found using this formula:
The area is 3,000 square inches.
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A trapezoid has a height of 
inches and bases measuring 
inches and 
inches. What is its area?
A trapezoid has a height of
Use the following formula, with 
:
Use the following formula, with
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What is the area of the trapezoid?
What is the area of the trapezoid?
To find the area of a trapezoid, multiply the sum of the bases (the parallel sides) by the height (the perpendicular distance between the bases), and then divide by 2.
To find the area of a trapezoid, multiply the sum of the bases (the parallel sides) by the height (the perpendicular distance between the bases), and then divide by 2.
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What is the area of the above trapezoid?
What is the area of the above trapezoid?
To find the area of a trapezoid, multiply one half (or 0.5, since we are working with decimals) by the sum of the lengths of its bases (the parallel sides) by its height (the perpendicular distance between the bases). This quantity is
To find the area of a trapezoid, multiply one half (or 0.5, since we are working with decimals) by the sum of the lengths of its bases (the parallel sides) by its height (the perpendicular distance between the bases). This quantity is
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The above diagram depicts a rectangle 
with isosceles triangle 
. If 
is the midpoint of 
, and the area of the orange region is 
, then what is the length of one leg of 
?
The above diagram depicts a rectangle
The length of a leg of 
is equal to the height of the orange region, which is a trapezoid. Call this length/height 
.
Since the triangle is isosceles, then 
, and since 
is the midpoint of 
, 
. Also, since opposite sides of a rectangle are congruent,
Therefore, the orange region is a trapezoid with bases 
and 
and height 
. Its area is 72, so we can set up and solve this equation using the area formula for a trapezoid:
This is the length of one leg of the triangle.
The length of a leg of
Since the triangle is isosceles, then
Therefore, the orange region is a trapezoid with bases
This is the length of one leg of the triangle.
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