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The length of a rectangle which is $25 cm$ is equal to the side of a square, and the area of the rectangle is $125 c m^{2}$ less than the area of the square. What is the breadth of the rectangle?

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20 cm

25 cm

40 cm

15 cm

answer is A.

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Detailed Solution

Given that the length of the rectangle and side of the square is 25 cm and area of rectangle is

125 c m^{2}

less than the area of the square.
Area of the square

= side \times side

\Rightarrow

Area

= (25 \times 25) c m^{2}

\Rightarrow

Area

= 625 c m^{2}

∴

Area of the rectangle

= (625 - 125) c m^{2}

\Rightarrow

Area of the rectangle

= 500 c m^{2}

∴

Breadth of the rectangle

= \frac{Area}{Length}

\Rightarrow

Breadth of the rectangle

= \frac{500}{25} cm

\Rightarrow

Breadth of the rectangle

= 20 cm

So, breadth of the rectangle is 20 cm.
Hence, the correct option is 1.

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The length of a rectangle which is 25 cm is equal to the side of a square, and the area of the rectangle is 125 cm2 less than the area of the square. What is the breadth of the rectangle?

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The length of a rectangle which is $25 cm$ is equal to the side of a square, and the area of the rectangle is $125 c m^{2}$ less than the area of the square. What is the breadth of the rectangle?