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2 years ago

11

A figure is made up of a triangle and a rectangle. The triangle has a height of 8 inches and a base of 9 inches. The rectangle h

as dimensions of 7 inches×9 inches. What is the area of the figure?

1 answer:

elena-14-01-66 [18.8K]2 years ago

7 0

Step-by-step explanation:

area of triangles

1/2*9*8= 36

area of.rectangle

8*9= 72

36+72=108 square inches

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Step-by-step explanation:

Given

See attachment

Required

Find x

From the attachment, we have:

$BC = x + 4$

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Because both triangles are similar, we use the following equivalent ratios:

$BC : BD = GE : GF$

Substitute values for each parameter

$x + 4 : 2x- 7 = 51 : 57$

Convert to fractions

$\frac{x + 4}{2x- 7} = \frac{51 }{ 57}$

Simplify the right-hand side

$\frac{x + 4}{2x- 7} = \frac{17}{19}$

Cross Multiply

$19(x + 4) = 17(2x - 7)$

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Collect Like Terms

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Solve for x

$x = \frac{-195}{-15}$

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