Posted by **Ana** on Sunday, November 23, 2008 at 7:43pm.

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**, Sunday, November 23, 2008 at 8:01pm
area of plot = x(x+4)

area of pool = (x-2)(x+2)

so x(x+4) - (x-2)(x+2) = 32

solve for x, sub into x-2 and x+2

(I got x=7)

- Math -
**Ana**, Sunday, November 23, 2008 at 8:12pm
Where did you get the x-2?

- Math -
**Reiny**, Sunday, November 23, 2008 at 8:33pm
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 7-2

or x-2

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**, Sunday, November 23, 2008 at 8:37pm
Thanks!

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