If the area of a rectangle is equal to the area of a square and if one side ( $l$ ) of the rectangle is equal to the perimeter of the square, then the other side ( $b$ ) of rectangle is _______ .

s i d e \div 2

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{s i d e}^{2} \div 2

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s i d e \div 4

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s i d e \div 3

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Solution

The correct option is C $s i d e \div 4$
Perimeter of square $= 4 \times$ side
Then, $l = 4 \times$ side
Area of rectangle=Area of square $\Rightarrow l \times b =$ side $\times$ side
$\Rightarrow (4 \times s i d e) \times b =$ side $\times$ side $\Rightarrow b = \frac{s i d e \times s i d e}{4 \times s i d e} = \frac{s i d e}{4}$

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If the area of a rectangle is equal to the area of a square and if one side (l) of the rectangle is equal to the perimeter of the square, then the other side (b) of rectangle is _______ .

The correct option is C side÷4Perimeter of square=4× sideThen, l=4× sideArea of rectangle=Area of square⇒l×b= side ×side⇒(4×side)×b= side ×side ⇒b=side×side4×side=side4

If the area of a rectangle is equal to the area of a square and if one side ( $l$ ) of the rectangle is equal to the perimeter of the square, then the other side ( $b$ ) of rectangle is _______ .