4 The sides of a rectangle are in the ratio
2:3. If the perimeter of the rectangle is
48 cm, find its dimensions.
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Let the width of rectangle = b
and length of rectangle = L
it is given that sides are in the ratio of 2:3
so 2:3 = b : L
so 2/3 = b/L
so 2L = 3b ------(1)
then Perimeter = 2(L+b)
48 = 2L + 2b
from (1) we know that 2L = 3b
so, 48 = 3b + b
so, 48 = 4b
so , b = 48/4
so, b = 12 cm
and 2L = 3b
so, 2L = 3 × 12
so, 2L = 36
so, L = 18cm
so dimension of rectangle are 12cm and 18cm
hope it helps!
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