Question

A square playground has a perimeter of 100 feet. What is the area of the playground?

*

200 square feet
625 square feet
2,500 square feet
10,000 square feet

Answer 1

625 ft^2

Explanation:

A square will have all 4 sides equal to each other. Let x be the length of 1 side. The perimeter, P, of such a square would be:

P = 4x

We are told that p = 100 feet

100 feet = 4x

x = 25 feet

Each side has a length of 25 feet.

The area of this square wuld be (25')*(25') = 625 ft^2

Answer 2

Explanation:

If a square has a perimeter of 100 feet, then each side of the square must be 25 feet long, since all four sides of a square are equal.

The area of a square is given by the formula A = s^2, where s is the length of one side of the square. Substituting s = 25 feet, we get:

A = (25 feet)^2

A = 625 square feet

Therefore, the area of the playground is 625 square feet.