Algebra question

Question

A garden is in the shape of a square with a perimeter of 48 feet. The garden is surrounded by two fences. One fence is around the perimeter of the garden, whereas the second fence is 22 feet from the first fence on the outside. If the material used to build the two fences is $1.39 per foot, what was the total cost of the fences?

Answer 1

perimeter = 48

48/4 = 12 feet for each side of the garden

the 1st fence cost $1.39 times 48= $66.72

2nd fence is 22 feet outside the 1st fence

add 2(22) to 12 = 56 = side of the larger square.

56 x 4 = perimenter of the larger square

56x4x1.39 = $311.36 = cost of the 2nd fence

total cost 66.72+311.36 = $378.08