Mrs. Aguirre is going to plant a rectangular garden in her rectangular backyard, as 80 ft.

6 f.

(15 ft.

40 ft.

Yard

Garden

75 ft.

What is the approximate area of the garden?

Ft

The answer is below

Step-by-step explanation:

From the image attached we can see that the width of the garden is 6 ft. The length of the garden is the slanting side of the triangle (hypotenuse).

Let x be the length of the garden. The height of the triangle = 40 ft - 15 ft = 25 ft.

The base of the triangle = 80 ft - 75 ft = 5 ft.

The length of the garden is gotten using Pythagoras:

x² = 25² + 5²

x² = 650

x = 25.5 ft.

The area of the garden = length * width = 25.5 * 6 = 153 ft²

Hence the approximate area = 160 ft²