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Darina [25.2K]
2 years ago
7

The first pentagon is dilated to form the second pentagon.

Mathematics
1 answer:
kolezko [41]2 years ago
8 0

Answer:

2

Step-by-step explanation:

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The height of a trapezoid is 6 in. and it’s area is 72 in to the 2nd power. One base of the trapezoid is 6 inches longer than th
Vitek1552 [10]

Given:

The height of the given trapezoid = 6 in

The area of the trapezoid = 72 in²

Also given, one base of the trapezoid is 6 inches longer than the other base

To find the lengths of the bases.

Formula

The area of the trapezoid is

A=\frac{1}{2} (b_{1} +b_{2} )h

where, h be the height of the trapezoid

b_{1} be the shorter base

b_{2} be the longer base

As per the given problem,

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Now,

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\frac{1}{2} (b_{1} +b_{1}+6)(6) = 72

or, b_{1}+b_{1}+6 = \frac{(72)(2)}{6}

or, 2b_{1}+6 = 24

or, 2b_{1}=24-6

or, b_{1}= \frac{18}{2}

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So,

The shorter base is 9 in and the other base is = (6+9) = 15 in

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One base is 9 inches for one of the bases and 15 inches for the other base.

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3 years ago
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Step-by-step explanation:

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