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Mathematics 20 Online
OpenStudy (anonymous):

What is the area of the figure? A. 128 km² B. 160 km² C. 192 km² D. 320 km²

OpenStudy (anonymous):

First, find the area of the rectangle and then find the area of the triangle and add the two areas together.

OpenStudy (anonymous):

320

OpenStudy (anonymous):

Not quite. How did you get that answer?

OpenStudy (anonymous):

by doing what u said

OpenStudy (anonymous):

Can you type your calculation?

OpenStudy (anonymous):

16*24*8

OpenStudy (anonymous):

That is not correct. First, you must find the area of the rectangle which would be...

OpenStudy (anonymous):

16*24

OpenStudy (anonymous):

Nope. The area of the rectangle would be length * width. The length of the rectangle is 8 and the width is 16

OpenStudy (anonymous):

128

OpenStudy (anonymous):

Yes. Now you must find the area of the triangle portion, which would be \[\frac{ 1 }{ 2} \]

OpenStudy (anonymous):

64

OpenStudy (anonymous):

Sorry. What I typed came out wrong. Put the 128 aside for now and focus on the triangle, whose area is 1/2 *b*h

OpenStudy (anonymous):

so 64?

OpenStudy (anonymous):

Not quite. The height of the triangle is 8. To find the base, you need to subtract 24 by 16.

OpenStudy (anonymous):

can u draw a pic

OpenStudy (anonymous):

Sure. It might take a minute though

OpenStudy (anonymous):

kk

OpenStudy (anonymous):

|dw:1413578537082:dw| So the 24 refers to the entire length of the shape while the 16 only refers to the rectangle. To find the length of the triangle base, you need to subtract 24 -16.

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