The difference between the length and breadth of a rectangle is $6$ cm. The length of the rectangle is equal to side of the square whose area is $729$ sq. cm. What is the perimeter of the rectangle ?

96

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108

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92

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88

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None of these

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Solution

The correct option is A $96$
Rectangle's length $=$ Square's side
Area of square $=$ Side $\times$ Side
$X \times X = 729$
$X = 27$ cm $=$ Length of rectangle.
$X - 6 = (27 - 6)$ cm $= 21$ cm $=$ Breadth of the rectangle.
Perimeter of rectangle $= 2 \times ($ length $+$ Breadth $) = 2 \times (27 + 21) = 96$ cm.

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The difference between the length and breadth of a rectangle is 6 cm. The length of the rectangle is equal to side of the square whose area is 729 sq. cm. What is the perimeter of the rectangle ?

The correct option is A 96Rectangle's length = Square's sideArea of square = Side × SideX×X=729X=27 cm = Length of rectangle.X−6=(27−6) cm =21 cm = Breadth of the rectangle.Perimeter of rectangle =2×(length + Breadth )=2×(27+21)=96 cm.

The difference between the length and breadth of a rectangle is $6$ cm. The length of the rectangle is equal to side of the square whose area is $729$ sq. cm. What is the perimeter of the rectangle ?