SOLUTION: a floor plan for a new house includes a rectangular dining room that measures 5m by 4m. the owners want a larger dining room with an area of 25m^2. the architect re-designs the flo

Algebra ->  Test -> SOLUTION: a floor plan for a new house includes a rectangular dining room that measures 5m by 4m. the owners want a larger dining room with an area of 25m^2. the architect re-designs the flo      Log On


   

Question 1181933: a floor plan for a new house includes a rectangular dining room that measures 5m by 4m. the owners want a larger dining room with an area of 25m^2. the architect re-designs the floor plan by adding a strip of floor of uniform width to the two adjacent sides of the dining room. how wide should the strip be to the nearest tenth of a meter.
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Only adding to one adjacent pair of sides - not all the way around


x, the uniform string being added
%285%2Bx%29%284%2Bx%29=25

20%2B9x%2Bx%5E2=25
x%5E2%2B9x=5
x%5E2%2B9x-5=0

x=%28-9%2Bsqrt%2881%2B4%2A5%29%29%2F2
x=%28-9%2Bsqrt%28101%29%29%2F2


highlight%28x=0.5%29---------to the nearest tenth of a meter