Question

PLZZZZ HELPPPP
Vaughn is laying sod in his backyard. A diagram of his backyard is below.


If a = 23 ft, b = 32 ft, and c = 36 ft, what is the area of the backyard

Answer 1

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 = $length\times width$

$Area=a\times b\\Area=23\times 32\\Area=736\ ft^2.$

Now, to get the area of the triangle we put formula:

$Area=\frac{1}{2} \times base\times height$

$Area=\frac{1}{2}\times d\times e$

$Area=\frac{1}{2} \times 32\times 13$

$Area=\frac{416}{2} \\Area=208\ ft^2.$

So, to get the total area of backyard we add both the areas of the rectangle and triangle:

$736+208$

$=944\ ft^2.$

Therefore, the area of the backyard is 944 ft².