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Mathematics 14 Online
OpenStudy (sierra!):

What is the area of the figure?

OpenStudy (sierra!):

@iGreen

OpenStudy (sierra!):

i know A= l*w right

OpenStudy (igreen):

Cut it into 3 rectangles and a triangle.

OpenStudy (igreen):

Yep, that's for the rectangle.

OpenStudy (sierra!):

A square is a rectangle too right i just dont wanna be wrong XD

OpenStudy (igreen):

OpenStudy (igreen):

No..

OpenStudy (igreen):

A square has all of its side EQUAL, a rectangle has two shorter equal sides and two longer equal sides.

OpenStudy (igreen):

*sides

OpenStudy (sierra!):

ok

OpenStudy (igreen):

Okay, let's find the width of the middle rectangle. See the two 8's on the right? We subtract these from 24 on the left. 8 + 8 = ?

OpenStudy (sierra!):

16

OpenStudy (igreen):

Correct, and what's 24 - 16?

OpenStudy (anonymous):

big rectangle - small rectangle + triangle

OpenStudy (sierra!):

8

OpenStudy (igreen):

Yes, so that's the width of the middle rectangle. To find the length, we subtract 26 - 14.

OpenStudy (sierra!):

ok

OpenStudy (igreen):

What do you get?

OpenStudy (sierra!):

12

OpenStudy (igreen):

Yes, so the width is 8, and the length is 12. Multiply them to find the area

OpenStudy (sierra!):

96

OpenStudy (igreen):

Correct, now let's find the area's of the two equal rectangles. They have lengths of 26, and widths of 8. Find the area

OpenStudy (sierra!):

ok give me a minute

OpenStudy (sierra!):

a=203

OpenStudy (sierra!):

Now we have to find the triangle, right?

OpenStudy (sierra!):

@iGreen

OpenStudy (igreen):

Um..A isn't 203

OpenStudy (sierra!):

oh oops mistake

OpenStudy (sierra!):

A=208

OpenStudy (igreen):

Yep, and there are two rectangles like that, so multiply by 2.

OpenStudy (anonymous):

help me with my question now

OpenStudy (sierra!):

416?

OpenStudy (igreen):

Correct, so the last part we have to find is the triangle. \(A = \dfrac{1}{2}bh\) Base = 26 Height = 8.7 Plug them in and solve

OpenStudy (sierra!):

wait so 26/8.7?

OpenStudy (igreen):

No..we multiply them together then multiply 1/2.

OpenStudy (sierra!):

i thought that because i made a bunch of notes but how you put it i didnt understand

OpenStudy (sierra!):

226.2 is what i got for just multiplying them

OpenStudy (sierra!):

is that right?

OpenStudy (igreen):

Correct, now multiply by 1/2 or divide by 2

OpenStudy (sierra!):

113.1?

OpenStudy (igreen):

Yes, now add all of the areas up: 113.1 + 416 + 96

OpenStudy (sierra!):

625.1

OpenStudy (igreen):

Correct, that's our answer.

OpenStudy (sierra!):

Thank you thank you thank you thank you! :D

OpenStudy (igreen):

Happy to help \(\Huge\ddot\smile\)

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