ASVAB Practice Test

If the perimeter of a square garden is 84 feet, what is the area of the garden?

1. 640 sq ft

2. 462 sq ft

3. 441 sq ft

4. 400 sq ft

The correct answer is: 640 sq ft

To solve this problem, we first need to understand the formulas for perimeter and area of a square. The perimeter of a square is found by adding all four sides together, while the area is found by multiplying the length of one side by itself. In this problem, the perimeter is given as 84 feet. If we divide 84 by 4 (the number of sides in a square), we get 21. This means that each side of the square garden is 21 feet long. To find the area, we need to multiply 21 by itself, which gives us 441 square feet. This means that the area of the garden is 441 square feet. Choices B, C, and D all involve incorrect calculations. B is obtained by dividing the given perimeter (84) by 2 instead of 4. C is obtained by taking the square root of the perimeter, which is not relevant to finding the area. D is obtained by assuming that the perimeter is equal to the area, which is incorrect. Therefore, A is the correct answer as it correctly uses the formula for area of a square.