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Georgia [21]
3 years ago
9

What is the area of the figure?

Mathematics
1 answer:
mrs_skeptik [129]3 years ago
5 0
We see that the shape is made up of 2 shapes:
trapezoid and triangle
(trapezoid is on top of upside down triangle)

area of trapezoid=(1/2)(b1+b2)(h)
area of traignel=(1/2)(b)(h)

area of trapezoid
b1=14
b2=18
h= ok so total height=17 and 12 is taken up by triangle os therefor h=17-12=5

A=(1/2)(14+18)(5)
A=(1/2)(32)(5)
A=(16)(5)
A=(80)




now area of triangle
H=12
B=18
A=(1/2)(18)(12)
A=(9)(12)
A=108

add
80+108=188


total area=188mm^2
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<em>Answer is </em><em>given below with explanations</em><em>. </em>

Step-by-step explanation:

given \: the \: line \: n \: passes \: through \\  \: ( - 3, - 7.5) \:  \: and(2, - 5) \\ the \: equation \: of \: the \: line \: is \\  \frac{y - y1}{y2 - y1}  =  \frac{x - x1}{x2 - x1}  \\ here \: x1 =  - 3 \:  \:  \: y1 =  - 7.5 \\ and \:  \: x2 = 2 \:  \:  \: y2 =  - 5 \\  \frac{y - ( - 7.5)}{ - 5 - ( - 7.5)}  =  \frac{x - ( - 3)}{2 - ( - 3)}  \\  \frac{y + 7.5}{ - 5 + 7.5}  =  \frac{x + 3}{2 + 3}  \\  \frac{y + 7.5}{2.5}  =  \frac{x + 3}{5}  \\ dividing \: by \: 5 \: on \: both \: side s\\  \frac{y + 7.5}{0.5}  =  \frac{x + 3}{1}  \\ 0.5(x + 3) = y + 7.5 \\ 0.5x + 1.5 = y + 7.5 \\ 0.5x - y - 6 = 0 \\ is \: the \: required \: equation.

<em>HAVE A NICE DAY</em><em>!</em>

<em>THANKS FOR GIVING ME THE OPPORTUNITY</em><em> </em><em>TO ANSWER YOUR QUESTION</em><em>. </em>

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