Squares
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ISEE Middle Level Quantitative Reasoning › Squares
What is the length of a rectangular room with a perimeter of and a width of
Explanation
We have the perimeter and the width, so we can plug those values into our equation and solve for our unknown.
Subtract from both sides
Divide by both sides
What is the perimeter of a square with area 196 square inches?
It cannot be determined from the information given.
Explanation
A square with area 196 square inches has sidelength inches, and therefore has perimeter
inches
Angela has a garden that she wants to put a fence around. How much fencing will she need if her garden is by
Explanation
The fence is going around the garden, so this is a perimeter problem.
David wants to put a fence around his backyard. How much fencing will he need if his backyard is by
Explanation
The fence is going around the backyard, so this is a perimeter problem.
What is the length of a rectangular room with a perimeter of and a width of
Explanation
We have the perimeter and the width, so we can plug those values into our equation and solve for our unknown.
Subtract from both sides
Divide by both sides
What is the length of a rectangular room with a perimeter of and a width of
Explanation
We have the perimeter and the width, so we can plug those values into our equation and solve for our unknown.
Subtract from both sides
Divide by both sides
Each side of a square is units long. Which is the greater quantity?
(A)
(B) The perimeter of the square
(A) and (B) are equal
(A) is greater
(B) is greater
It is impossible to determine which is greater from the information given
Explanation
The perimeter of a square is four times its side length:
Since the perimeter is equal to , (A) and (B) are equal.
What is the length of a yard with a perimeter of and a width of
Explanation
We have the perimeter and the width, so we can plug those values into our equation and solve for our unknown.
Subtract from both sides
Divide by both sides
What is the length of a yard with a perimeter of and a width of
Explanation
We have the perimeter and the width, so we can plug those values into our equation and solve for our unknown.
Subtract from both sides
Divide by both sides
A square has an area of 36, and each side is equal to What is the value of
?
Explanation
Each side of a square is equal to the square root of the area. The square root of 36 is 6, so each side is 6. Thus, 3x (being a side of the square is equal to 6. This means that x is equal to 2 because 3 times 2 is 6.