Asked by Stephanie
Leo's garden, which is 6m wide, has the same area as Jen's garden, whichis 8m wide. Find the length of the two rectangular gardens if Leo's garden is 3m longer than Jen's garden.
Answers
Answered by
Reiny
length of Leo's garden --- x
area of Leo's garden = 6x
length of Jen's garden --- x-3
area of Jens's garden = 8(x-3)
the area are the same, so
8(x-3) = 6x
8x - 24 = 6x
2x = 24
x = 12
Leo's garden is 12 m long
Jen's garden is 9 m long
check: 6(12) = 9(8)
area of Leo's garden = 6x
length of Jen's garden --- x-3
area of Jens's garden = 8(x-3)
the area are the same, so
8(x-3) = 6x
8x - 24 = 6x
2x = 24
x = 12
Leo's garden is 12 m long
Jen's garden is 9 m long
check: 6(12) = 9(8)
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