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tangare [24]
3 years ago
7

Can someone help me with this ?

Mathematics
1 answer:
romanna [79]3 years ago
6 0

Answer:

\large\boxed{S.A.=467\ in^2}

Step-by-step explanation:

We have two triangles and three rectangles.

The formula of an area of a triangle:

A_{triangle}=\dfrac{bh}{2}

b - base

h - height

The formula of an area of a rectangle:

A_{rectangle}=lw

l - length

w - width

TRIANGLE:

b = 11 in, h = 7 in

A_1=\dfrac{(11)(7)}{2}=\dfrac{77}{2}=37.5\ in^2

RECTANGLE 1:

l = 11 in, w = 14 in

A_2=(11)(14)=154\ in^2

RECTANGLE 2:

l = 9 in, w = 14 in

A_3=(9)(14)=126\ in^2

RECTANGLE 3:

l = 8 in, w = 14 in

A_4=(8)(14)=112\ in^2

The Surface Area:

S.A.=2A_1+A_2+A_3+A_4

Substitute:

S.A.=2(37.5)+154+126+112=467\ in^2

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