SOLUTION: A sidewalk will be built along the side edges of all 4 sides of rectangular lawn described in the table ( dimensions of lawn, length 32 ft, width 24 ft). The remaining lawn will

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Question 722490: A sidewalk will be built along the side edges of all 4 sides of rectangular lawn described in the table ( dimensions of lawn, length 32 ft, width 24 ft).
The remaining lawn will have an area of 425 sq ft. How wide will the walk be? PlEASE HELP.
I solve area= l.w =32*24=768 sq ft area of lawn.
768 sq ft-425 sq ft= 343 sq ft and I'm stuck. I don't know what to do next?

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
You have the right idea, seeing that "remaining lawn" helps us think that the walkway does not extend outside of the lawn area, but covers the edges and goes inward.

Look at the dimensions again of the lawn before adding the walkway along the edges.

(32-2w)(24-2w)= area of remaining lawn, not covered by the walkway. That uses w for the width of the walkway.
highlight%28%2832-2w%29%2824-2w%29=425%29. From that, perform you algebra steps to solve the equation for w.