SOLUTION: Tika made a rectangular frame for her latest oil painting. The length is 18 centimeters more than triple the width. the perimeter of the frame is 92 centimeters. Find the length an
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Question 574694: Tika made a rectangular frame for her latest oil painting. The length is 18 centimeters more than triple the width. the perimeter of the frame is 92 centimeters. Find the length annd the width of the frame.
Answer by gojuice101(1) (Show Source): You can put this solution on YOUR website!
Since the length given is based off the width, lets denote the width as x. Since the length is given as "18 centimeters more than triple the width, that would give us:
Width: x
Length: (18+3x)
Total=92
If you consider the perimeter formula of a rectangle as 2L+2W, then you can replace the values we have:
2(18+3x)+2x=92
You can simply solve for x from here:
2(18+3x)+2x=92
36+6x+2x=92
36+8x=92
(36-36)+8x=(92-36) Subtract 36 from both sides
8x=56
8x/8=56/8 Divide by 8 to isolate x
x=7
Width=7
Length=18+3(7)=39
To check, use the perimeter formula
2L+2W
2(39)+2(7)=92
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