SOLUTION: Karens Backyard has a width of 25 meters and a length of 35 meters. SHe wants to put a rectangular flower garden in the middle of the backyard leaving a strip of grass of uniform w

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Question 744337: Karens Backyard has a width of 25 meters and a length of 35 meters. SHe wants to put a rectangular flower garden in the middle of the backyard leaving a strip of grass of uniform width around all sides of the flower garden. If she wants to have 324 square meters of grass what will be the width and length of the garden
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = the uniform width of the grass border
The dimensions of the rectangular flower garden
can be expressed as:
width = m
length = m
----------------------
She wants to have square meters of grass
Her whole backyard has an area of m2
--------------
The area of her garden is
Now I can say:





( by inspection )
The width of the border can't be , since
that is wider than her backyard, so
width = m
length = m
--------------------------
check answers:




OK
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