Question

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

Answer 1

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`