Sasha is planning to put a patio around her new pool which has the dimensions 20m and 30m. She wants the patio to have a uniform width, x, and to surround the entire pool. Her budget is $6000 and she knows it will cost $10/m^2 to construct the patio. How wide can she afford the patio to be?

Question

anonymous · Answer

PLEEEASE HELP ive been trying for an hour

pfenn1 · Answer

You can solve this several ways.  One way is to assume the area of the patio and pool is $$(20 + 2x) \times (30+2x)$$

anonymous · Answer

oooo my god i love you

pfenn1 · Answer

Subtract from this the area of just the pool = $$20 \times 30$$
This will give you the area of just the patio=$$(20+2x) \times (30+3x)-(20 \times 30)$$

pfenn1 · Answer

What ever you get for the area of the patio times $10/m^2 has to be equal or less than $6000.  Solve for x.

anonymous · Answer

yaaay :) i love you

pfenn1 · Answer

I hope it works out.