Question

Calculate the missing area

Answer 1

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