Question

THE LENGTH OF RECTANGLE ,WHICH IS 25CM. IS EQUAL TO THE LENGTH OF SQUARE AND THE AREA OF THE RECTANGLE IS 125CMS. LESS THAN THE AREA OF SQUARE .WHAT IS THE BREATH OF THE RECTANGLE

Answer 1

Question:-

The length of rectangle is 25cm, which is equal to length of square. The area of the rectangle is 125 cm^2 less than the area of the square. What is the breadth of the rectangle.

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Given:-

• Length of rectangle = l = 25cm
• Side of square = a = 25cm
• Area of rectangle = Area of square- 25

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Need to find:-

• Breath of rectangle = b = ?

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Solution :-

Area of the square = ${side}^{2}$

$\implies Area = {25}^{2} {cm}^{2}$

$\purple{\bold{\boxed{\implies Area of sqaure= 625 {cm}^{2}}}}$

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Also given,

Area of rectangle = Area of square - 25

$\implies Area of Rectangle= 625 - 25 {cm}^{2}$

$\purple{\bold{\boxed{\implies Area of Rectangle = 600 {cm}^{2}}}}$

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We know,

Area of a rectangle = length × breadth

→ Breadth = Area ÷ length

→ Breadth = 600 ÷ 25m

$\red{\bold{\boxed{\large{\implies Breadth = 24m}}}}$

Thus Breadth of rectangle is 24cm