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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.

Respuesta :

absor201

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.

kudzordzifrancis

Answer:

4 in.

Step-by-step explanation:

The area of a trapezium is calculated using the formula:

[tex]Area=\frac{1}{2}(Sum\:of\:the\:bases)\times height[/tex]

The given tra-pezoid has area [tex]48[/tex] square inches.

The bases are given as 9 inches and 15 inches.

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

[tex]48=\frac{1}{2}(9+15)\times height[/tex]

[tex]48=\frac{1}{2}(24)\times height[/tex]

[tex]48=12\times height[/tex]

Divide both sides by 12.

[tex]\frac{48}{12}=height[/tex]

[tex]4 in.=height[/tex]

Therefore the height of the trapezoid is 2 inches.

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