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
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
