A pentagonal prism has a base area of 124 square inches. The lateral area (area of sides) is made up of 5 equal-sized rectangles that are each 80 square inches. What is the surface area of the pentagonal prism?

The surface area of the pentagonal prism is equal to 648 square inches

Step-by-step explanation:

we know that

The surface area of the pentagonal prism is equal to the area of the base and the top plus the lateral area

so

where

B is the area of the pentagonal base

LA is the lateral area (area of 5 equal-sized rectangles)

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .