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Dmitry [639]
3 years ago
7

What is the area of this composite shape? Enter your answer in the box. _in²

Mathematics
1 answer:
LuckyWell [14K]3 years ago
3 0

The area of the composite figure is 40 in^2

Explanation:

From the given figure, we can see that the area of the composite figure = area of the rectangle + area of the triangle.

Area of the rectangle (A_1):

The formula is given by

A_1=length\times width

where length = 5 and width = 5

Substituting, we have,

A_1=7\times 5=35 in^{2}

Thus, the area of the rectangle = 35 i n^{2}

Area of the triangle (A_2):

The formula is given by

A_2=\frac{1}{2} bh

where b=5-3=2 i n

and h=12-7=5 \text { in }

Substituting, we have,

A_2=\frac{1}{2} (2)(5)\\A_2=5 in ^{2}

Thus, the area of the triangle = 5in ^{2}

Area of the composite figure = Area of the rectangle + area of the triangle

Area of the composite figure = 35 i n^{2}+5 i n^{2}=40 i n^{2}

Thus, the area of the composite figure is 40 in^2

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