A rectangular Persian carpet has a perimeter of 18 inches. The length of the carpet is 22 inches more than the width. What are dimensions of the carpet?

Question

kainui · Answer

Try to write an equation based on this. Draw a picture and label stuff like L for length and W for width. Take a guess and I'll help.

anonymous · Answer

okay, would it be 22w+L= 18?

ranga · Answer

Length of the carpet is 22 inches more than the width means:
L = W + 22      ------ equation (1)
That is one equation.
Another equation is Perimeter = 18
That means: 2(L + W) = 18      ------ equation (2)

You have 2 equations and 2 unknowns.  Solve for L & W.

kainui · Answer

Almost micheller, so if the length is 22 more than the width, you can say:

L is length

"is" means equals

22 is of course just the number

more means add

W is width so

L=22+W.

Now you should be able to see what the perimeter is based on length and width by looking at the picture and adding up all the sides.

anonymous · Answer

@Kainui is the equation 2(L+W)=18

kainui · Answer

Yes exactly! So now you have two equations and two unknowns. That means you can solve for both of your variables now. =D

anonymous · Answer

Thanks