Question

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Answer 1

The area of the figure is 36
`in^2`.

Explanation:

You can cut the composite shapes into two shapes to make the calculation process easier: a triangle and a rectangle. The area of the triangle is
`(1)/(2) * 9*2=(1)/(2) *18=9`
`in^2`, and the area of the rectangle is 9 * 3 = 27
`in^2`, so the area of the composite shape is 27 + 9 = 36
`in^2`.

Answer 2

36in²

Explanation:

In order to find the area of a composite shape, we must split the shape up into two regular shapes.

Thus, area of composite shape = area of triangle + area of rectangle

The area of a rectangle can simply be found my multiplying the width by the length

The rectangle shown has a length of 9 in and a width of 3 in

Hence, A = 9 * 3

9 * 3 = 27

Therefore the area of the rectangle is 27in²

The area of a triangle can be calculated by multiplying the base length by the height and then dividing the product by 2

The triangle shown has a given height of 2 in and a base length of 9 in

Thus,
`A=(2*9)/(2)`

2 * 9 = 18

18 / 2 = 9

Hence, the area of the triangle is 9 in²

Finally we add the two areas together

9 + 27 = 36

Hence, the area of the composite figure is 36in²