Answer:
The area of the backyard is 944 ft².
Step-by-step explanation:
Given:
a = 23 ft, b = 32 ft, and c = 36 ft.
Now, to find the area of the backyard.
So, we get a rectangle and a triangle if we divide the figure.
Thus, a rectangle and a triangle as shown in below figure.
So, a = 23 ft, b = 32 ft, c = 36 ft, and d = 32 ft.
And, e = 36 - 23 = 13 ft.
Now, to get the area of the rectangle we put formula:
Area = [tex]length\times width[/tex]
[tex]Area=a\times b\\Area=23\times 32\\Area=736\ ft^2.[/tex]
Now, to get the area of the triangle we put formula:
[tex]Area=\frac{1}{2} \times base\times height[/tex]
[tex]Area=\frac{1}{2}\times d\times e[/tex]
[tex]Area=\frac{1}{2} \times 32\times 13[/tex]
[tex]Area=\frac{416}{2} \\Area=208\ ft^2.[/tex]
So, to get the total area of backyard we add both the areas of the rectangle and triangle:
[tex]736+208[/tex]
[tex]=944\ ft^2.[/tex]
Therefore, the area of the backyard is 944 ft².
