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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

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8

9

10.5

10

answer is D.

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Detailed Solution

Perimeter of a square

= 48

m
Area of rectangle

= 4

sq. m
Length of rectangle

= 14

m
Here,
Side length of the square

= \frac{48}{4} = 12

m
Now, area of square

{= side}^{2} = 144 sq . m

Given that a specified square has an area that is 4 square metres less than a given rectangle.
Area of rectangle

= 144 - 4

= 140

sq. m

\Rightarrow

Lenght

\times

Breadth

= 140

sq. m

\Rightarrow 14 m \times

Breadth

= 140

sq. m

\Rightarrow

Breadth

= 10

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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

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Detailed Solution

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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