Question

of Composite FiguresAcellusFind the surface area of the composite figure.513 cm4 cm5 cm3 cm3 cm4 cm12 cmSA = [? ] cm?=If you'd like,you can use acalculatorEnterright © 2003 - 2021 Acellus Corporation. All Rights Reserved.

Answer 1

For the blue figure, we have 4 areas: 2 triangles and 2 rectangles.

The area of each one is:

`\begin{gathered} A_(t1)=A_(t2)=(12\cdot5)/(2)=30 \\ A_(r1)=5\cdot4=20 \\ A_(r2)=13\cdot4=52 \end{gathered}`

For the red figure, we have 5 rectangular areas:

`\begin{gathered} B_(r1)=4\cdot12=48_{} \\ B_(r2)=B_(r3)=4\cdot3=12 \\ B_(r4)=B_(r5)=12\cdot3=36 \end{gathered}`

Adding all areas, we have:

`\begin{gathered} SA=A_(t1)+A_(t2)+A_(r1)+A_(r2)+B_(r1)+B_(r2)+B_(r3)+B_(r4)+B_(r5) \\ SA=30+30+20+52+48+12+12+36+36 \\ SA=276 \end{gathered}`

Therefore the surface area is 276 cm².