If a rectangle of a sides $5$ cm and $15$ cm is be divided into three squares of equal area, then the sides of the squares will be:

4 c m

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6 c m

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7 c m

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5 c m

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Solution

The correct option is D $5 c m$
Area of rectangle $=$ 3 $\times$ area of 1 square
$\Rightarrow 5 \times 15 = 3 \times a^{2}$
$\Rightarrow a^{2} = 25 \Rightarrow a = \sqrt{25} = 5 c m$
$∴$ Side of square = 5cm

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If a rectangle of a sides 5cm and 15cm is be divided into three squares of equal area, then the sides of the squares will be:

The correct option is D 5cmArea of rectangle = 3 × area of 1 square⇒5×15=3×a2⇒a2=25⇒a=√25=5cm∴ Side of square = 5cm

If a rectangle of a sides $5$ cm and $15$ cm is be divided into three squares of equal area, then the sides of the squares will be:

The correct option is D $5 c m$
Area of rectangle $=$ 3 $\times$ area of 1 square
$\Rightarrow 5 \times 15 = 3 \times a^{2}$
$\Rightarrow a^{2} = 25 \Rightarrow a = \sqrt{25} = 5 c m$
$∴$ Side of square = 5cm