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3 years ago

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The area of a trapezoid is 48 square inches. If the bases of the trapezoid are 9 inches and 15 inches, what is the height? 2 in.

1 in. 8 in. 4 in.

2 answers:

vfiekz [6]3 years ago

5 0

Answer:

4 in.

Step-by-step explanation:

The area of a trapezium is calculated using the formula:

$Area=\frac{1}{2}(Sum\:of\:the\:bases)\times height$

The given tra-pezoid has area $48$ square inches.

The bases are given as 9 inches and 15 inches.

We plug in the known values into the formula to get;

$48=\frac{1}{2}(9+15)\times height$

$48=\frac{1}{2}(24)\times height$

$48=12\times height$

Divide both sides by 12.

$\frac{48}{12}=height$

$4 in.=height$

Therefore the height of the trapezoid is 2 inches.

denis-greek [22]3 years ago

4 0

Answer:

Option D 4 inches is correct.

Step-by-step explanation:

Area of trapezoid = 48 square inches

Base a = 9

Base b = 15

We need to find the height h.

The formula for area of trapezoid is

Area = (a+b)/2 * h

Putting the values, we get

48 = ( 9+15)/2 * h

48 = (24)/2 * h

48 = 12 *h

=> h = 48/12

h = 4 inches

So, Option D 4 inches is correct.

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krek1111 [17]

Hello, My Dear Friend!

Solution for $4(5x-3)=48$ equation:

<span>Simplifying:
</span> $4(5x + -3) = 48$ <span>

</span><span>Reorder the terms:
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$(-3 * 4 + 5x * 4) = 48$
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</span><span>Solving:
</span> $-12 + 20x = 48$ <span>

</span><span>Solving for variable 'x'.
</span>Move all terms containing x to the left, all other terms to the right.
<span>Add '12' to each side of the equation.
</span> $-12 + 12 + 20x = 48 + 12$ <span>

</span>Combine like terms: $-12 + 12 = 0$ $0 + 20x = 48 + 12$
$20x = 48 + 12$ <span>

</span><span>Combine like terms: </span> $48 + 12 = 60$
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</span><span>Divide each side by '20'.
</span> $x = 3$ <span>

</span><span>Simplifying:
</span> $x = 3$ <span>

Therefore, THAT is The Answer!^^^

</span>=====> x = 3 <=====

I Hope my answer has come to your Help. Thank you for posting your question here in $Brainly.$ We hope to answer more of your questions and inquiries soon. Have a nice day ahead! :)

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