Question

how do i find the area of this shape and you tell me step by step​ it says find the area of the shaded region

Answer 1

512

Explanation:

i fond the area of the whole big rectangle , so to do this i did 32+8 because i needed to find length. then i found the width, which was 8+8, 16. to find area , i need to multiply with times height so i did 40 x 16. this gets me to 640, but now i need to take out the two smaller cubes since i included them when i found the are of the rectangle. since the sides of both squares are 8 by 8, we can do 8 x 8 x 2 to find the area of both of them. now we taake 128(the product of 8 x 8 x 2) and subtract it from the big rectangle with the area of 640. 640-128 is 512.

Answer 2

First, you need to find out the are of the whole rectangle, which as you probably know, you just need to multiply base by height.

Then, you need to substract the are of the two little squares, which luckily are both the same size. To find out the are of a square you multiply a side twice.

Therefore,

Whole rectangle area:

(32+8) * (8+8) = 40 * 16 = 640 sq. ft.

Two small squares:

2 * (8 * 8) = 2 * 64 = 128 sq. ft.

We substract:

640 - 128 = 512 sq. ft.