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