if the perimeter of a rectangle is 35 cm and its lenght and breadth are in the ratio 3:2 find the lenght breadth of the rectangle
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➼ Question ➼
If the perimeter o a rectangle is 35 cm and its length and breadth are in the ratio 3:2. Find the length and the breadth of the rectangle.
Given,
The perimeter equals to 35 cm.
Now,
Let the length be 3x and breadth be 2x.
Thus,
2 (3x + 2x) = 35
2 × 5x = 35
10x = 35
x = 35 ÷ 10
x = 3.5
Verification,
LHS = 2 (3x + 2x)
= 2 (3 × 3.5 + 2 × 3.5)
= 2 (10.5 + 7)
= 2 × 17.5
= 35
RHS = 35
LHS = RHS hence, verified.
Therefore,
Length = (3x) cm
= (3 × 3.5) cm
= 10.5 cm
Breadth = (2x) cm
= (2 × 3.5) cm
= 7 cm
☆ Hope it Helps ☆
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