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The length of a rectangle is two times its width. The perimeter of the rectangle is 180 cm. Find the dimensions of the rectangle. - Mathematics

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Question

The length of a rectangle is two times its width. The perimeter of the rectangle is 180 cm. Find the dimensions of the rectangle.

Sum

Solution

Let the width of rectangle be x cm.

So, the length of rectangle = 2x.

Perimeter of rectangle = 180 cm

⇒ 2(2x + x) = 180

⇒ 3x = `180/2` = 90

⇒ x = `90/3` = 30

Thus, width of rectangle = 30 cm

And length of rectangle = 2 × 30 = 60 cm.

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Chapter 4: Simple Equations - Exercise [Page 114]

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NCERT Exemplar Mathematics [English] Class 7
Chapter 4 Simple Equations
Exercise | Q 99. | Page 114

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