A rug is to be centered in a room so that the border around it is of a consistent width on all four sides. If the room is 10 ft
by 15 ft, and the area of the rug is 24 square feet, how wide will the border be?
1 answer:
Answer:
The width of the border can be 9 feet or 3.5 feet.
Step-by-step explanation:
Let the width be x
Length of room = 10 feet
Breadth of room = 15 feet
Length of rug = 10-2x
Breadth of rug = 15-2x
Area of rug =
We are given that the area of the rug is 24 square feet.
So,
---A






Substitute x =9 in A


LHS = RHS
Substitute x = 3.5


LHS = RHS
So, The width of the border can be 9 feet or 3.5 feet.
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