How to find the area of a square

Practice Questions

PSAT Math › How to find the area of a square

Questions
8
1

ABCD and EFGH are squares such that the perimeter of ABCD is 3 times that of EFGH. If the area of EFGH is 25, what is the area of ABCD?

2

If the perimeter of a square is equal to twice its area, what is the length of one of its sides?

3

If the diagonal of a square measures 16\sqrt{2} \ cm, what is the area of the square?

4

A half circle has an area of . What is the area of a square with sides that measure the same length as the diameter of the half circle?

5

The perimeter of a square is 12\ in. If the square is enlarged by a factor of three, what is the new area?

6

A square has an area of 36. If all sides are doubled in value, what is the new area?

7

Freddie is building a square pen for his pig. He plans to buy x feet of fencing to build the pen. This will result in a pen with an area of p square feet. Unfortunately, he only has enough money to buy one third of the planned amount of fencing. Which expression represents the area of the pen he can build with this limited amount of fencing?

8

A square A has side lengths of z. A second square B has side lengths of 2.25z. How many A's can you fit in a single B?

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