Question

A rectangular garden has a length twice as great as its width. A second rectangular garden has the same length as the first garden and width that is 4 meters greater than the width of the first garden. The second garden has an area of 120 square meters.

What is the length of the two gardens?

Answer 1

length of each is 12 meters

Explanation:

for larger rectangle:

let '2w' = length

let 'w+4' = width

2w(w+4) = 120

2w² + 8w - 120 = 0

simplify by dividing each term by 2 to get:

2(w² + 4x - 60) = 0

(w-6)(w+10) = 0

width cannot be negative 10 and is therefore equal to 6

since length is '2w' then length is 2(6) which is 12