The measure of two adjacent side of rec. Is in ratios 11 :10 if p of rectangle is 84 cm then find l and b
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→ The measure of two adjacent sides of rectangle is in the ratio 11:10. If perimeter of rectangle is 84 cm. Then, find length and breadth of the given rectangle.
Let the common factor be ' x '
So, length = 11x and breadth = 10x
∵ Perimeter of Rectangle = 2 ( l + b )
Now,
According to question
2 ( 11x + 10x ) = 84
⇒ 2 ( 21x ) = 84
⇒21x =
⇒ 21x = 42
∴ x = 2
Therefore,
Length of the rectangle is 11 × 2 = 22 cm
Breadth of the rectangle is 10 × 2 = 20 cm
2 ( 22 + 20 ) = 84
⇒2 ( 42 ) = 84
⇒84 = 84
L.H.S = R.H.S
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