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
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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
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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?
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.
