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3 years ago

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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