Alfredo is painting his storage shed. He won't paint the top or bottom of the shed; so, he needs to calculate the lateral surface
area of the shed in order to know how much paint to buy. The
shed is in the shape of a rectangular prism as shown below.
What is the lateral surface area of the storage shed in square
feet?
a) 148 ft2
b) 294 ft2
c) 364 ft2
d) 512 ft?
7ft
9ft
12ft

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240

$6.42

step-by-step explanation:

idk u tell me

step-by-step explanation:

the answer is b.

64

step-by-step explanation:

c=2πr=2·π·8≈64