Question

You are planting a rectangular garden. It is 5 feet longer than 3 times its width. The area of the garden is 250 ft. How do you find the dimensions of the garden?

Answer 1

Length = 30ft, width = 25/3 ft

Explanation:

Let say width(W) = x. Then length(L) = 3x+5

`Area = W*L`
`(x)(3x+5)=250`
`3x^2+5x=250`
`3x^2+5x-250=0`
`(3x-25)(x+10)=0`

`x=25/3 and x=-10`
since it unit cannot be -ve,
`therefore x = 25/3 only`

`W=25/3ft`
`L =3(25/3)+5 = 30ft`