Question

Analyze the diagrams below and complete the instructions that follow.
2004-06-01-03-00_files/i0020000.jpg
Given the calculations shown, find the dimensions of the prism

Answer 1

lateral area = perimeter of base * height

I will make a simplifying assumption that perimeter of the base is 40 and height is 7 according to the first calculation.

therefore: perimeter = 2(w+h) = 40

now, using the second calculation, the base is 100, so w*h = 100

now you have two equations in two unknowns

2(w+h) = 40
and w*h = 100

so you can solve for w and h. as a hint you can solve equation 2 for either w or h, and plug into the first equation to eliminate one of the varibles