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ahrayia [7]
3 years ago
6

A carpenter cut out a small trapezoid as a wooden support for the front step. it has an altitude of 4 inches. One base of the tr

apezoid measure 6 inches and the other base measure 12 inches. What is the area of this support
Mathematics
1 answer:
docker41 [41]3 years ago
6 0

Area of wooden support is 36 square inches

<em><u>Solution:</u></em>

Given that, carpenter cut out a small trapezoid as a wooden support for the front step

<em><u>The area of trapezoid is given as:</u></em>

area = \frac{a+b}{2} \times h

Where, "h" is the height

"a" and 'b" are the length of base

Here given that,

Height = h = 4 inches

a = 6 inches

b = 12 inches

Substituting the values we get,

area = \frac{6+12}{2} \times 4\\\\area = 18 \times 2\\\\area = 36

Thus area of wooden support is 36 square inches

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