Answer:
The base is 32 ft
Step-by-step explanation:
To find the area of the shaded region , we first find the area of the larger rectangle using the formula A = l*w
A = 30* 16
A = 480 ft^2
Then we need to find the area of the smaller rectangle
A = 10*8
A = 80 ft^2
The area of the shaded region is the area of the larger rectangle minus the area of the smaller rectangle
A shaded = 480-80 ft^2
A shaded = 400 ft^2
The formula for area of a triangle is given by
A = 1/2 b*h
We know the area is 400 and the height is 25
Substitute these values into the equation
400 = 1/2 b* 25
400 = 25/2 * b
Multiply each side by 2/25 to isolate b
400 * 2/25 = 2/25 * 25/2 * b
32 = b
The base is 32 ft
