Question

HELP!! MY GRADUATIONS AT RISK IF I DON'T FIGURE THIS OUT!

I'll post the problem below, I have to find the shaded region of this shape. Please please help!! show work? or teach me how?

Answer 1

You can do this. These are just rectangles of different sizes.
A rectangle has an area = length x width, L W.

The big, upright rectangle goes from (2,2) to (2,18), 81-2=16 units height.
It goes from (2,18) to (12,18) across the top, a width of 12-2=10
This gives an area (ignoring the cut-out for now) of LW =16 x 10 = 160.

The piece sticking out the side goes from (12, 2) to (20,2), a width of 20-12=8
and its height is from (20,2) to (20 not 2, 10) = 8 so its area is 8 8 = 64

The total area from these two is 160 + 64.

Find the area of the central white rectangle this way and subtract it from the areas we have already calculated. That gives you net shaded area.

Answer 2

224?

Answer 3

160+64 = 224, now you have to find the area = L x W of that inner white
rectangle and subtract it from 224.

Answer 4

184?

Answer 5

someone?

Answer 6

If that central rectangle is 10 x 4= 40, then yes, 184 is right.

Answer 7

Okay! wow I understand a lot better now [: thanks to you im gonna get the credit! thankyou so much Douglas.

Answer 8

I am very pleased to have helped. Regards.