Question

Can someone help me please?

Answer 1

Surface Area of the figure is 1208 square centimeters

Explanation:

`a=20`
`b=13`
`c=12`
`d=5`
`e=8`
Top face:
`A_1=axxe=20xx8`
`ae=160`
Bottom face:
`A_2(a+2d)xxe=(20+2xx5)xx8=(20+10)xx8=30xx8`
`(a+2d)e=240`
Front face:
Rectangle
`axxc=20xx12=240`
Triangle:
`1/2cxxd=1/2xx12xx5=6xx5=30`
`A_3`Rectangle +2 triangles
`240+2xx30=240+60=300`
`(a+d)c=300`
Slant face:
`A_4=bxxe=13xx8=104`
`be=104`
Total surface area
`A=A_1+A_2+2(A_3+A_4)`
`A_1=160`
`A_2=240`
`A_3=300`
`A_4=104`
Thus,
`A=160+240+2(300+104)`
`A=400+2(404)`
`A=400+808=1208`
Surface Area of the figure is 1208 square centimeters

Answer 2

c) `color(magenta)(1208cm^2`

Explanation:

Required area = Area of triangle`xx4+` Area of rectangle (1) `xx2+` Area of rectangle (2) `xx2+` Area of rectangle (3) `xx2+`Area of rectangle (4) `xx2`

`color(red)(=(1/2dcxx4) + (caxx2) + (aexx2) + (dexx2)+ (ebxx2)`

`= (1/2xx5xx12xx4) + (12xx20xx2)+(20xx8xx2) +(5xx8xx2) +(8xx13xx2)`

`=120+480+320+80+208`

`color(magenta)(=1208 cm^2`

~Hope this helps! :)