Question 295562
The length of the rectangular garden is 5 meters longer than its width. The area of the garden is 50 square meters. Find the length and with of the garden.

let the width be x meters

length = x+5 meters

x(x+5) = 50

x^2 +5x-50=0

x^2+10x-5x-50=0

x(x+10)-5(x+10)=0

(x-5)(x+10)=0

x=5 which is the width

Length is x+5 = 10 meters