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What is the area of the figure?

What is the area of the figure?-example-1
User Jclova
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1 Answer

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This is an improper polygon. To find the area of this figure we will find the area of the three rectangles inside of the figure. Lets do it:-

Rectangle #1:-

This rectangle is on the left side of the picture. Its from the bottom of the figure to the top.

l = 15m
w = 3m

We will use the following formula for all of the rectangles:-

A = wl

A = 3 · 15
A = 45

Rectangle #1:- A = 45m.

Rectangle #2 is the same as rectangle #1 cause it is the same size with the same dimension and it s located all the way to the right of the picture.

Rectangle #2:- A = 45m

Rectangle #3:-

This rectangle is all the way at the top of the pic. It is in between of the other 2 rectangles. To find the length and width of this rectangle we need to use the info on the other sides.

15m - 9m = l
15m - 9m = 6m
l = 6m

12m - 3m - 3m = w
12m - 3m - 3m = 6m
w = 6m

A = wl
A = 6 · 6 = 36
A = 36m

Rectangle #1:- 45m
Rectangle #2:- 45m
Rectangle #3:- 36m

Now we will add all the separate rectangles areas and the answer will be the area of the figure.

45 + 45 + 36 = 126

Area of the WHOLE figure = 126m

Hope I helped ya!! xD
User Andy Fleming
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8.2k points