SOLUTION: MATRICES: Inverse Matrix and Applications The perimeter of a rentangular frame of a photo is 11 feet. If 3 times the height is equivelant to 8 times the width, how many feet doe

Question 1053096: MATRICES: Inverse Matrix and Applications
The perimeter of a rentangular frame of a photo is 11 feet. If 3 times the height is equivelant to 8 times the width, how many feet does the width of the frame have?
I'm having a hard time applying the formula to this word problem. Help?

Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
.

3L = 8W.

Divide both sides by 24. You will get

 = .

Let x be  = . Then

L = 8x, W = 3x.

The perimeter is  2W + 2L = 2*(3x) + 2*(8x).

It gives you an equation

2*(3x) + 2*(8x) = 11.

Simplify and solve for x:

6x + 16x = 11,

22x = 11,  x =  = 0.5 ft.

Then L = 8x = 8*0.5 = 4 ft;  W = 3x = 3*0.5 = 1.5 ft.

Answer.  4 ft x 1.5 ft.

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