Question

Kimmy has 47 ft.² of cement blocks each square block has size 1 foot long what is the greatest perimeter of a rectangle that she can make with the cement blocks

Answer 1

The larges perimeter she can make becomes is 96 ft

Explanation:

Here we note that the available brick is 47 ft²

Therefore, she has 47 square cement blocks

Let the length of the sides of the rectangle with the most perimeter be x and y

Then 2·x + 2·y = 47 which is not possible because 47 is a prime number

Hence we have the possible sides of the rectangle is a single line of square blocks such that

x × y = 47 ft² where y = 1 hence x = 47

The larges perimeter she can make becomes, 2 × (1 + 47) = 96 ft.