The ratio of area of a square and area of a rectangle is 3:2 respectively. The…
2024
The ratio of area of a square and area of a rectangle is 3:2 respectively. The side of square is equal to length of the rectangle. The perimeter of the rectangle is 40 meters, then find the breadth of the rectangle?
- A.
12 m
- B.
8 m
- C.
10 m
- D.
15 m
- E.
17 m
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Correct answer: B
Let the side of the square and length of the rectangle be L, and the breadth of the rectangle be B.
Area ratio = L^2 : L B = L : B = 3 : 2, so L = 3B/2.
Perimeter of rectangle = 40, so L + B = 20.
Thus 3B/2 + B = 20, giving 5B/2 = 20 and B = 8 m.