The area of the base of a prism is 50 mm2. the perimeter of the base is 30 mm. the height of the prism is 7 mm.

what is the surface area of the prism?

Suppose we have a rectangle with area 50 and perimeter 30. Let's set up equations to find the side lengths.

ab = 50
2a + 2b = 30

Now we need to get one variable alone on one side.

a + b = 15
a = 15 - b

Use substitution and solve.



So we now know that the square has dimensions 5 and 10. Let's find the surface area.