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kkurt [141]
3 years ago
14

Calculate the missing area

Mathematics
1 answer:
Karolina [17]3 years ago
4 0

Answer:

The missing area is 28 square inches

Step-by-step explanation:

see the attached figure with letters to better understand the problem

we know that

The area of triangle is given by the formula

A=\frac{1}{2}(b)(h)

In this problem

In each side of the square there are two triangles with the same area, because they have the same base and the same height

so

16+20+32=C+2D+2A+B

68=C+2D+2A+B

Group terms

(B+C)=68-2D-2A

(B+C)=68-2(D+A) ----> equation A

we have that

A+D=20\ cm^2 ----> equation B  see the picture

substitute equation B in equation A

(B+C)=68-2(20)=28\ cm^2

therefore

The missing area is 28 square inches

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