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icang [17]
3 years ago
5

The top of a table is in the shape of a trapezoid. It has a height 1.5 feet and the two parallel bases measure 3 feet and 5 feet

. What is the area of the top of the table?
A = 1
2
(b1 + b2)h

A = 1
2
(3 + 5)(1.5)

A = 1
2
(8)(1.5)

The area of the tabletop is:
2.3 feet2
6 feet2
12 feet2
22.5 feet2
Mathematics
1 answer:
Ksju [112]3 years ago
7 0

Answer: 6 feet 2

Step-by-step explanation:

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<em><u>Given</u></em><em><u> </u></em><em><u> </u></em>

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Let's solve this problem step-by-step.

STEP-BY-STEP EXPLANATION:

We will be using simultaneous equations to solve this problem.

The sum of angles on a straight line is 180°.

( R ) and ( 2x + 5 ) are both on the same straight line.

Therefore:

Equation No. 1 -

R + 2x + 5 = 180

R = 180 - 2x - 5

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Vertically opposite angles are equivalent to each other.

( R ) is vertically opposite ( 3x + 15 ).

Therefore:

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R = 3x + 15

Substitute the value of ( R ) from the first equation into the second equation to solve for ( x )

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FINAL ANSWER:

Therefore, the answer is:

R = 111

x = 32

Hope this helps! :)
Have a lovely day! <3
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