SOLUTION: The width of a rectangle is 3/4 of its length. If the perimeter of the rectangle is 140 feet, what are the dimensions of the rectangle? Thank you all for your time!

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Question 58100: The width of a rectangle is 3/4 of its length. If the perimeter of the rectangle is 140 feet, what are the dimensions of the rectangle?

Thank you all for your time!
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
The width of a rectangle is 3/4 of its length. If the perimeter of the rectangle is 140 feet, what are the dimensions of the rectangle?
:
The formula for perimeter of a rectangle is:highlight%28P=2L%2B2W%29
Let the length (L) be:x
Then width (W) is: (3/4)x
Perimeter (P) is: 140 ft
: Plug those values into your formula and solve for x:
140=2(x)+2(3/4)x
140=2x+6/4x
140=2x+3/2x
140=(4/2)x+(3/2)x
140=(7/2)x
2(140)=2(7/2)x
280=7x
280/7=7x/7
40=x
Length: x=40 ft.
Width:(3/4)(40)=3(10)=30 ft.
:
Happy Calculating!!!