1 Answer

Moiz Tankiwala · Answer 1 · 2020-12-04T12:30:11+0000

Answer:

SA = 952 ft²

Explanation:

We have:

two squares 10ft × 10ft

three rectangles 14ft × 10ft

two rectangles 9ft × 14ft

two triangles with base 10ft and height 8ft

The formula of an area of a reactangle l × w (square s × s) :

$A=lw\qquad(s^2)$

Substitute:

$A_1=10^2=100\ ft^2\\\\A_2=(14)(10)=140\ ft^2\\\\A_3=(9)(14)=126\ ft^2$

The formula of an area of a triangle:

A=((base)(height))/(2)

Substitute:

$A_4=((10)(8))/(2)=40\ ft^2$

The Surface Area:

SA=2A_1+3A_2+2A_3+2A_4

Substitute:

$SA=(2)(100)+(3)(140)+(2)(126)+(2)(40)=952\ ft^2$