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The trapezoid shown has an area of 1,575 sq cm. Which equation could you solve to find the height of the trapezoid?

Question

The trapezoid shown has an area of 1,575 sq cm. Which equation could you solve to find the height of the trapezoid?

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Solution

The area of a trapezoid is calculated by the formula:

Area = 1/2 * (base1 + base2) * height

Given that the area is 1575 sq cm, the equation to find the height (h) would be:

1575 = 1/2 * (base1 + base2) * h

To isolate h, you would rearrange the equation to:

h = (1575 * 2) / (base1 + base2)

This is the equation you would solve to find the height of the trapezoid.

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A trapezoid has base lengths of 10.5 units and 16 units.  The height of the trapezoid is one-half as long as the longer base.  What equation could be used to find the area of the trapezoid?ResponsesA A = 0.5 × (10.5 + 16)A = 0.5 × (10.5 + 16)B A = 0.5 × 0.5 × (10.5 + 16)A = 0.5 × 0.5 × (10.5 + 16)C A = 0.5 × 8 × (10.5 + 16) A = 0.5 × 8 × (10.5 + 16) D A = 0.5 × 8 × 16

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