SOLUTION: Martha's garden is 5 m wide and 8 m long. Next year she plans to double the garden's area by increasing the width and length by the same number of meters. What will be the new dime

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: Martha's garden is 5 m wide and 8 m long. Next year she plans to double the garden's area by increasing the width and length by the same number of meters. What will be the new dime      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 919768: Martha's garden is 5 m wide and 8 m long. Next year she plans to double the garden's area by increasing the width and length by the same number of meters. What will be the new dimensions of the garden?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
This year, area is 5%2A8.

Next year, area will be %285%2Bx%29%288%2Bx%29.
That must be 2%2A%285%2A8%29.

%285%2Bx%29%288%2Bx%29=2%2A5%2A8.
Solve for x.
Evaluate x+5 and x+8.


---
x%5E2%2B13x%2B5%2A8=2%2A5%2A8
x%5E2%2B13x-5%2A8=0
x%5E2%2B13x-40=0

x=%28-13%2Bsqrt%28169%2B4%2A40%29%29%2F2
x=%28-13%2Bsqrt%28169%2B160%29%29%2F2
highlight%28x=%28-13%2Bsqrt%28329%29%29%2F2%29
About 2.57 meters increase to each dimension.