Question

If the garden has an area of 91ft2, what are the dimensions of the garden? a1 feet wide by a2 feet long Frank decides to put a fence around the garden. How many feet of fencing does he need to buy? a3feet

Answer 1

the complete question in the attached figure

Part A) what are the dimensions of the garden?
we know that area of rectangle is
Area rectangle=91 ft²
[Area rectangle]=b*h--------> (2x+3)*(2+x)------> 4x+2x²+6+3x
2x²+7x+6=91--------> 2x²+7x-85=0

using a graph tool-----------> to resolve the quadratic equation
see the attached figure

the solution is
x=5 ft
so
2x+3------> 13 ft
2+x-------> 7 ft

the answer Part A) is 13 ft x 7 ft

Part B)How many feet of fencing does he need to buy?
[perimeter of rectangle]=2b+2h-------> 2*13+2*7--------> 26+14------> 40 ft

the answer Part B) is 40 ft