A homeowner puts a patio in the northwest corner of a square backyard. The area of the patios is 750
square feet. What is the area of the backyard?
120 ft
X
25
xft

A homeowner puts a patio in the northwest corner of a square backyard The area of the patios is 750 square feet What is the area of the backyard 120 ft X 25 xft class=

Respuesta :

Answer:

17.6621ft²

Step-by-step explanation:

First we need to find the side length of the patio x

SInce the area of the patio = 750

Area of patio = x * x

Area of patio = x²

750 = x²

Swap

x² = 750

x = √750

x = 27.39ft

Length of the backyard = 27.39ft - 25ft = 2.39ft

Width of the backyard = 27.39ft - 20ft = 7.39ft

Area of the backyard = 2.39 * 7.39

Area of the backyard = 17.6621ft²

The dimension of the backyard is 7.4 feet by 2.4 feet. Then the area of the backyard is 17.76 square feet.

What is a rectangle?

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a rectangle, opposite sides are parallel and equal and each angle is 90 degrees. And its diagonals are also equal and intersect at the mid-point.

A homeowner puts a patio in the northwest corner of a square backyard. The area of the patios is 750 square feet.

The dimension of the patio will be

x² = area

x² = 750

x = 27.4 feet

The dimension of the backyard will be

Length = 27.4 – 20 = 7.4

Width = 27.4 – 25 = 2.4

The area of the backyard will be

Area of backyard = 7.4 × 2.4

Area of backyard = 17.76

More about the rectangle link is given below.

https://brainly.com/question/10046743