A rectangular garden whose length is 7 feet longer than its width has an area of 60 square feet. Find the dimensions of the garden.

Answer 1

Lw=60= (7+w)w= 7w+w^2

w^2+7w-60=0

factor or use the quadratic formula

(w-12)(w-5)=0

w=5 ft, L=12 ft

w=-7/2 +.5sqr(49+4(60)

= -3.5 +.5sqr289

= -3.5 +.5(17)

=-3.5+8.5

=5 feet wide

L= 12 feet Long