Mathematics
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OpenStudy (sierra!):
What is the area of the figure?
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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.
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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
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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
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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
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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
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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
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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?
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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
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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
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OpenStudy (igreen):
Happy to help \(\Huge\ddot\smile\)