SOLUTION: A square garden of 900 SQUARE METERS is to be surrounded by a walkway of constant width x. The total area of the walkway has to be 700 SQUARE METERS. Find the width x of the walkwa

Algebra ->  Rectangles -> SOLUTION: A square garden of 900 SQUARE METERS is to be surrounded by a walkway of constant width x. The total area of the walkway has to be 700 SQUARE METERS. Find the width x of the walkwa      Log On


   

Question 892890: A square garden of 900 SQUARE METERS is to be surrounded by a walkway of constant width x. The total area of the walkway has to be 700 SQUARE METERS. Find the width x of the walkway.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Square garden 900 square meters has four sides 30 meters each.

Area of walkway plus garden is %2830%2B2x%29%2830%2B2x%29; draw a picture if needed to understand this clearly.

TotalArea-GardenArea=WalkwayArea;
The walkway area is given as 700 square meters.
highlight_green%28%2830%2B2x%29%5E2-900=700%29

Can you do the rest? Solve the equation for x.