Answer asap 100 points and brainlist find the base of a triangle with the same area as the shaded region. the height of the triangle is 25 feet. show all work.

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