The perimeter of a room is 48 feet, and the ratio of its length to its width is 5:3. Find the length and width of the room.

The correct answer is: Proportion
Length=15 feet, breadth = 9 fea
Length=15 feet, breadth = 9 feet
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Given Perimeter of room = 48 feet
Ratio of 
Let length of room = 5x and width of room = 3x

We know that Perimeter = 2 (a + b)
where
“a” is the length of the rectangle
“b” is the breadth/ width of the rectangle
48 = 2 ( a + b)
48 = 2 ( 5x + 3x)
48 = 2 (8x)
16x = 48
x = 3
Length of room = 5x = 5 (3) = 15 feet and breadth = 3 (3) = 9 feet
Thus the length and width of the room is 15 feet and 9 feet respectively.