SOLUTION: The perimeter of a rectangle is 140m. The length is 10m more than twice the width. Find the dimensions and simplify your answers. What is the length and the width in meters?

Algebra ->  Formulas -> SOLUTION: The perimeter of a rectangle is 140m. The length is 10m more than twice the width. Find the dimensions and simplify your answers. What is the length and the width in meters?      Log On


   

Question 199026: The perimeter of a rectangle is 140m. The length is 10m more than twice the width. Find the dimensions and simplify your answers.
What is the length and the width in meters?
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!


We know Perimeter = 2L + 2W

Given:system%28P=140m%2CW=W%2CL=10%2B2W%29

So,
P=2L%2B2W
140=2%2810%2B2W%29%2B2W
140=20%2B4W%2B2W
140-20=6W ----> 120=6W ----> cross%28120%2920%2Fcross%286%29=cross%286%29W%2Fcross%286%29
red%28W=20m%29, Width
Also,
L=10%2B2W=10%2B2%2820%29=10%2B40=red%2850m%29, Length

Check,
P=2L%2B2W
140=2%2850%29%2B2%2820%29
140=100%2B40
140m=140m

Thank you,
Jojo