A square garden with side length of 50 has a square shaped fountain display with length of 12 feet at the exact center of garden find the area of the garden

Question

asked Jun 17, 2022 20.1k views

1 Answer

Abbas Fatullaev · Answer 1 · 2022-06-21T19:35:46+0000

Answer:

The area of the garden is
$2356\ ft^2$

Explanation:

Area of a Square

Given a square of a side length of x, the area is calculated as:

A = x^2

There is a square garden area of a side length of x=50 feet. The area is:

$A_1=50^2=2500\ ft^2$

Inside of it, there is another square area for a fountain display of a side length of 12 feet. The area is:

$A_2=12^2=144\ ft^2$

The area of the garden is the difference between A2 and A1:

$A_g=A_2-A_1=2500\ ft^2-144\ ft^2$

$A_g=2356\ ft^2$