I'm not looking to cheat or anything, but I'm really stuck on this problem. If you know how, could you please set up the equation for me and explain how and why?
Here's the problem:
A small city park consists of a rectangular lawn surrounded on all sides by a 330 m^2 border of flowers 2.5 m wide. Find the area of the lawn if the entire park is 5 m longer than it is wide.
2007-12-13 13:57:13 · 1 answers · asked by Squeegee Beckingheim :-) 5 in Education & Reference ➔ Homework Help
Let L and W be the length and width of the park. The perimeter of the park is shorter than the flower border by four times the width of the border:
2L + 2W = 330 - ( 4 ) ( 2.5 ) = 320
You also know that
L = W + 5
Now you have two equations and two unknowns. To solve, use the second expression as a substitution into the first:
2 ( W + 5 ) + 2 W = 320
4 W = 310
W = 77.5 meters.
Then L = 82.5 meters from the second equation.
2007-12-13 14:06:55 · answer #1 · answered by jgoulden 7 · 0⤊ 0⤋