Question

Calculate the area of the figure. Assume that all angles are right angles.

Answer 1

The best way to approach this is to assume that there are no spaces in the rectangle. Then subtract the space afterwards. From the image the total width of the solid rectangle is 200 with a height of 100. So we know that the total area is 20,000. Our next task is to fin the "areas" of the hollow parts of the rectagle and subtract from 20,000. We have 75 as height and 25 as width which results to 1875. Since there are 2 "spaces" the total area of the spaces is 3750. Subtracting from 20,000, the total area of this figure is 16 250. 

Answer 2

Okay. So I find it easiest to calculate the full area as if the shape was a rectangle, then subtracting open space. We already know that length is 100, so now we just need to find width. 50 + 25 + 50 + 25 + 50 = 200. 200 x 100 =20,000. So now we just need to find the areas of open space and subtract. Both spaces have a length of 75 and a width of 25. 25 x 75 = 1875. There were 2 spaces, and 1875 x 2 = 3,750. 20,000 - 3,750 = 16,250.


The area of the figure is 16,250 feet.