1 Answer

Shlomi Agiv · Answer 1 · 2019-08-21T23:52:58+0000

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:

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

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