Posted by Ana on .
A rectangular plot of land is 4 meters longer than it is wide. It's surrounded by a multicolored walk 1 m wide. The area of the walk is 32 m. What are the dimensions of the pool?

Math 
Reiny,
area of plot = x(x+4)
area of pool = (x2)(x+2)
so x(x+4)  (x2)(x+2) = 32
solve for x, sub into x2 and x+2
(I got x=7) 
Math 
Ana,
Where did you get the x2?

Math 
Reiny,
If the plot is 7 m wide and there is a walkway of 1 m on either side of the pool, isn't the pool 5 m wide?
so 72
or x2
that is also how I got x+2 for the length of the pool, it was x+4, now take away 1 m from each side..... 
Math 
Ana,
Thanks!