Question

PLZ HURRY ITS FOR A TEST

Answer 1

96=4P+2(8)
96=4P+16
80=4P
P=20

Answer 2

Answer:

Perimeter of base of the prism, P=20 m.

Step-by-step explanation:

Given

The surface area of a prism is modeled by the equation ,

S=Ph+2B

Where S= surface area

P= Perimeter of the base

h= Height of the prism

B= Area of base.

Surface area of prism= 96 square meters

Height of rectangular prism=4 meters

Base area of the prism= 8 square meters

Substitute all values in the given equation

$96=4P+2\times8$

4P=96-16

By using subtraction property of equality

4P=80

$P=\frac{80}{4}$

By using division property of equality

P=20 meters

Hence, the perimeter of the  base of the prism =20 meters.