SOLUTION: the shorter side of a rectangle has a length of x inches. the longer side has a length of 2x-1 inches. if the perimeter is 58 inches, find the length of the sides. remember the per

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: the shorter side of a rectangle has a length of x inches. the longer side has a length of 2x-1 inches. if the perimeter is 58 inches, find the length of the sides. remember the per      Log On

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Question 389068: the shorter side of a rectangle has a length of x inches. the longer side has a length of 2x-1 inches. if the perimeter is 58 inches, find the length of the sides. remember the perimeter is equal to the sum of the length of all four sides. after the first 2 steps of your five step solution, draw and label the rectangle using appropriate algebraic expressions for each side. then complete the 5-step solution as usual.
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
The side lengths are

L = 2x - 1
W = x

The perimeter is 2(L+W) = 2(2x - 1 + x) = 2(3x - 1) = 58

Dividing by 2,

3x - 1 = 29

x = 10 = W

2x - 1 = 19 = L

Checking, we see that 2(10 + 19) = 58.

I'm not that great with drawing rectangles on this site, but it is easy to draw it on paper. Draw a rectangle and label the shorter sides x and the longer sides 2x-1.