@Michele_Laino
Plot and connect the points A(-2, 5), B(3, 5), C(5, 1), and D(-4, 1), and find the area of the trapezoid formed.
A)32 square units
B)28 square units
C)36 square units
D)20 square units
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OpenStudy (anonymous):
OpenStudy (anonymous):
.
OpenStudy (michele_laino):
here, you have to draw your points first, what do you get?
OpenStudy (michele_laino):
please make a drawing using the editor, by clicking on "Draw" button
OpenStudy (anonymous):
k
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OpenStudy (anonymous):
there
OpenStudy (michele_laino):
the requested area is given by the subsequent formula:
\[\Large A = \frac{{\left( {B + b} \right) \times h}}{2}\]
where:
B= 5-(-4)= 9
b= 3-(-2)= 5
h=5-1=4
so
\[\Large A = \frac{{\left( {B + b} \right) \times h}}{2} = \frac{{\left( {9 + 5} \right) \times 4}}{2} = ...\]
OpenStudy (anonymous):
28
OpenStudy (michele_laino):
that's right!
OpenStudy (anonymous):
ty
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OpenStudy (michele_laino):
:)
OpenStudy (anonymous):
can u help with this one ty
OpenStudy (anonymous):
@Michele_Laino
OpenStudy (anonymous):
brb
OpenStudy (michele_laino):
here we have to apply the same formula above. Now using the same symbols, we have:
B=9-3=...
b=7-5=...
h=8-5=...
\[A = \frac{{\left( {B + b} \right) \times h}}{2}\]
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OpenStudy (anonymous):
12?
OpenStudy (michele_laino):
that's right!
OpenStudy (anonymous):
it was wrong but ty anyway
OpenStudy (michele_laino):
please wait
OpenStudy (michele_laino):
here is your polygon:
|dw:1433457778822:dw|
is it right?
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OpenStudy (michele_laino):
we can write this:
|dw:1433457854503:dw|
so total area = 12+14= 26