SOLUTION: Greg is buying fabric from a store. he has the choice of buying a fabric that is 2 feet wide or 3 feet wide. the diagrams show how much fabric of each type he can buy for d dollars

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Greg is buying fabric from a store. he has the choice of buying a fabric that is 2 feet wide or 3 feet wide. the diagrams show how much fabric of each type he can buy for d dollars      Log On


   

Question 804035: Greg is buying fabric from a store. he has the choice of buying a fabric that is 2 feet wide or 3 feet wide. the diagrams show how much fabric of each type he can buy for d dollars.
a. for what value of d is the perimeter of both choices the same?
b. for what value of d is the area of both choices the same?
rectangle 1
width: 3ft length:(2d-5)ft
rectangle 2
width: 2ft length: (2d-4)ft
Answer by erica65404(394) About Me  (Show Source):
You can put this solution on YOUR website!
you make rectangle1=rectangle2
Perimeter:
rectangle1(L+L+W+W)=rectangle2(L+L+W+W)
3%2B3%2B2d-5%2B2d-5=2%2B2%2B2d-4%2B2d-4 combine like terms
4d-4=4d-4 they are equal to each other so for the perimeter d can be any number.
Area:
Rectangle1(L*W)=rectangle2(L*W)
3%282d-5%29=2%282d-4%29 Distribute
6d-15=4d-8 Subtract 4d and add 15 to each side
2d=7 divide by 2
d=3.5
For the area d can only be 3.5.