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Question

# If the length of the rectangular sheet is 25 cm and its area is 500 cm2, find the breadth and hence find its perimeter.

## The correct answer is: breadth of the given rectanglular sheet is 20 cm & perimeter is 90 cm

### Hint:-

i. Area of a rectangle = length * breadth

ii. Perimeter of a rectangle = 2 (length + breadth)

Step-by-step solution:-

From the given information, length = 25 & Area = 500

Let the breadth be x cm

i. Area of the given rectanglular sheet = length * breadth

∴ 500 = 25 * x

∴ 500 / 25 = x

∴ x = 20 cm .................................................. (Equation i)

ii. Perimeter of the rectanglular sheet = 2 (length + breadth)

∴ Perimeter of the rectanglular sheet = 2 (25 + 20) ............................................ (From Equation i)

∴ Perimeter of the rectanglular sheet = 2 (45)

∴Perimeter of the rectanglular sheet = 90 m

Final Answer:-

∴ breadth of the given rectanglular sheet is 20 cm & perimeter is 90 cm.

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