Find the length and width of the playground

Question

the area if a playground is 238 yd ^2 the width of the playground is 3 yd longer than its length draw and label a diagram for the playground, write an equation that could be used to find x, the length of the playground, find the length and width of the play ground

Answer 1

let x = length

x+3 = width

Area = Length x width

238 = x(x+3)

238 = x²+3x Subtract 238 from both sides

0 = x²+3x-238

To solve this, you factor it

0=(x-14)(x+17)

Set each factor equal to zero and solve

x-14=0 and x+17=0

x=14 and x=-17 are the possible solutions. Since a playground length cannot be negative, -17 is not a valid solution.

let x = length = 14 yards

x+3 = width = 14+3 = 17 yards