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A rectangular piece of dimensions 3 cm × 2 cm was cut from a rectangular sheet of paper of dimensions 6 cm × 5 cm (see the figure). Area of remaining sheet of paper is ______.

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Question

A rectangular piece of dimensions 3 cm × 2 cm was cut from a rectangular sheet of paper of dimensions 6 cm × 5 cm (see the figure). Area of remaining sheet of paper is ______.

Options

  • 30 cm2

  • 36 cm2

  • 24 cm2

  • 22 cm2

MCQ
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Solution

A rectangular piece of dimensions 3 cm × 2 cm was cut from a rectangular sheet of paper of dimensions 6 cm × 5 cm (see the figure). Area of remaining sheet of paper is `bb(underline(24 cm^2))`.

Explanation:


Given dimensions of the bigger rectangle are 6 cm and 5 cm.

∴ Area of bigger rectangle = 6 cm × 5 cm = 30 cm2  ...[∵ Area of rectangle = length × breadth]

Also given, dimensions of the smaller rectangle are 3 cm and 2 cm.

∴ Area of smaller rectangle = 3 cm × 2 cm = 6 cm2

∴ Area of remaining sheet of paper = Area of bigger rectangle – Area of smaller rectangle

= (30 – 6) cm2

= 24 cm2

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Chapter 9: Perimeter and Area - Exercise [Page 267]

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NCERT Exemplar Mathematics Exemplar Class 7
Chapter 9 Perimeter and Area
Exercise | Q 2. | Page 267

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