The perimeter of a square is $48 m$ . The area of a rectangle is $4 s q . m$ less than the area of given square. If the length of the rectangle is $14 m$ , then its breadth is equal to

8 m

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9 m

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10.5 m

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10 m

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Solution

The correct option is C $10 m$
Perimeter of the square $= 4 \times$ side $= 48 m$
Length of side of the square $= \frac{48}{4} = 12 m$
Now, area of this square $= {s i d e}^{2} = 144 s q m$
Given, the area of a rectangle is $4 s q m$ less than the area of given square.
Area of rectangle $= 144 - 4 = 140 s q m$
$\Rightarrow$ Length $\times$ Breadth $= 140 s q m$
$\Rightarrow 14 m \times$ Breadth $= 140 s q . m$
$\Rightarrow$ Breadth $= 10 m$

Hence, option D.

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The perimeter of a square is 48 m. The area of a rectangle is 4 sq.m less than the area of given square. If the length of the rectangle is 14 m, then its breadth is equal to

The perimeter of a square is $48 m$ . The area of a rectangle is $4 s q . m$ less than the area of given square. If the length of the rectangle is $14 m$ , then its breadth is equal to