Answer:
The area of the shaded region is 272 in²
Step-by-step explanation:
Since it is an odd shape, the real height(20 inches according to the picture) will help us alot. But first you'll want to split the shapes. and find the areas seperately in a way. I see a rectangle on the top and triangle on the bottom. Lets find the area of the rectangle first.
To find the area, you have to multiply length and width.
A = L x W
19 x 8 = 152(the area)
So now we know the area of the rectangle, but what about the triangle? Since there is no exact base measurement for the triangle, we will add the length of the rectangle(19) and the 1 inch.
19 + 1 = 20
So the base for the triangle is 20.
To find the height of the triangle, subtract 8(the rectangle's width) from the overall height(20 inches).
20 - 8 = 12
A = b ÷ 2
A= 120(area)
That is not the overall area yet, we have to add the two areas now.
152 + 120 = 272
That is how you find the area for this, let me know if you need anymore help.