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Find the surface area of the figure below.

Find the surface area of the figure below.-example-1
User Sgargan
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1 Answer

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We have two equilateral triangles and three rectangles.

The formula of an area of an equilateral triangle:


A_(\triangle)=(a^2\sqrt3)/(4)

a - length of side

We have a = 14 ft. Substitute:


A_(\triangle)=(14^2\sqrt3)/(4)=(196\sqrt3)/(4)=49\sqrt3\ in^2

The formula of an area of a rectangle:


A_{\boxed{\ }}=lw

l - length

w - width

We have l = 10ft and w = 14 ft. Substitute:


A_{\boxed{\ }}=(10)(14)=140\ ft^2

The Surface Area of the figure:


S.A.=3A_{\boxed{\ }}+2A_(\triangle)\\\\S.A.=3\cdot140+2\cdot49\sqrt3=(420+98\sqrt3)\ ft^2

User Shlomi Agiv
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