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What is the area of the trapezoid?3 in.15 in.14 in.5 in.9 in.square inches

What is the area of the trapezoid?3 in.15 in.14 in.5 in.9 in.square inches-example-1
User Dlchet
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1 Answer

1 vote

Answer:

The area of the trapezoid is of 24 square inches.

Explanation:

The trapezoid can be divided as:

A rectangle with base 3 inches and height 4 inches.

A right triangle with sides 3 inches and 4 inches.

The area of the trapezoid is the sum of the area of the rectangle with the area of the two right triangles.

Area of the rectangle:

The area of the rectangle with base b and height h is: A = b*h.

In this question, we have that b = 3, h = 4. So

A = b*h = 3*4 = 12

Area of the right triangle:

The area of a right triangle with sides a and b is: A = 0.5*a*b

In this question.

2 right triangles, each with a = 3, b = 4. So

A = 2*0.5*a*b = 3*4 = 12

Area of the trapezoid:

12 + 12 = 24

The area of the trapezoid is of 24 square inches.

User Guglhupf
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8.7k points

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