Question

Find the surface area and show work

Answer 1

Answer:
`1,270in^2`

Explanation:

The surface area of a rectangle can be calculated with:

`Area_(rectangle)=lenght*width`

The surface area of a trapezoid can be calculated with:

`Area_(trapezoid)=(height)/(2)(Larger\ base+Smaller\ base)`

Calculate the area of the base, wich is a rectangle:

`A_(1)=(34in)(15in)=510in^2`

There are two equal rectangles, therefore, multiply the area of any of them by 2:

`A_(2)=2(15in)(13in)=390in^2`

Calculate the area of the other rectangle:

`A_(3)=(15in)(10in)=150in^2`

There are two equal trapezoids, therefore, multiply the area of any of them by 2:

`A_4=(2(5in))/(2)(34in+10in)=220in^2`

Therefore, the surface area will be the sum of all the areas calculated:

`SA=A_1+A_2+A_3+A_4\\\\SA=510in^2+390in^2+150in^2+220in^2\\\\SA=1,270in^2`