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Cerrena [4.2K]
3 years ago
12

A rectangular garden has a length twice as great as its width. A second rectangular garden has the same length as the first gard

en 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?
Mathematics
1 answer:
Artyom0805 [142]3 years ago
5 0

Answer:

length of each is 12 meters

Step-by-step 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

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