Side of a rectangle in the ratio 3: 4 and its area is 588sq find the perimeter
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Length of rectangle = L
Breadth of rectangle = b
According to question
L/b = 3/4
and
Lb = 588
(3/4)b^2 = 588 ……[∵ L = 3b/4]
b = sqrt(4 × 588/3)
b = 28 cm
L = 3 × 28 / 4 = 21 cm
Perimeter = 2 × (L + b)
= 2 × (21 + 28)
= 98 cm
Breadth of rectangle = b
According to question
L/b = 3/4
and
Lb = 588
(3/4)b^2 = 588 ……[∵ L = 3b/4]
b = sqrt(4 × 588/3)
b = 28 cm
L = 3 × 28 / 4 = 21 cm
Perimeter = 2 × (L + b)
= 2 × (21 + 28)
= 98 cm
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