Question

Harvey is finding the area of a figure that can be divided into 2 equal trapezoids. The basis of each trapezoid are 14 and 24. The height of each is 8. What is the area of the figure?

Answer 1

304

Explanation:

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Answer 2

The area of figure is 304 square unit.

Explanation:

The figure divided into 2 equal trapezoids.The height of each is 8. The basis of each trapezoid are 14 and 24. It means the length of the parallel sides are 14 and 24.

Area of a trapezoid is

`A=(a+b)/(2)\cdot h`

Where, a and b are length of parallel sides and h is the height of trapezoid.

Area of a trapezoid is

`A_1=(24+14)/(2)* 8`

`A_1=19* 8`

`A_1=152`

Therefore area of a trapezoid is 152.

The area of figure is twice of area of a trapezoid.

`A=2* A_1=2* 152=304`

Therefore the area of figure is 304 square unit.