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vekshin1
3 years ago
15

How to solve this problem??

Mathematics
1 answer:
slega [8]3 years ago
8 0
\frac{2}{3} =  \frac{18}{x+5}

multiply each side by x+5
\frac{2x+10}{3}=18
multiply each side by 3

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Let us assume base of the window = b feet.

Height is 3 feet less than base, that is = (b-3).

Given area of the triangle = 20 feet square.

We know formula for area of a triangle:

Area = \frac{1}{2} × Base × Height

Plugging values in formula, we get

20 = \frac{1}{2} b \times (b-3)

\mathrm{Multiply\:both\:sides\:by\:}2

40=b\left(b-3\right)

40=b^2-3b

b^2-3b-40=0

Factoring quadratic, we get

\left(b+5\right)\left(b-8\right)=0

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b=8.

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<h3>Therefore, base of the triangle = 8 feet and height = 8 -3 = 5 feet.</h3>
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