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Dimensions of a painting are 60 cm × 38 cm. Find the area of the wooden frame of width 6 cm around the painting as shown in the following figure.

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Question

Dimensions of a painting are 60 cm × 38 cm. Find the area of the wooden frame of width 6 cm around the painting as shown in the following figure.

Sum
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Solution

We have, length and breadth of inner rectangle is 60 cm and 38 cm, respectively.

∴ Area of inner rectangle = 60 × 38 = 2280 cm2  ...[∵ Area of rectangle = Length × Breadth]

∴ Breadth of outer rectangle = 38 + 6 + 6 = 50 cm

Length of outer rectangle = 60 + 6 + 6 = 72 cm  ...[∵ Width of frame = 6 cm, given]

∴ Area of outer rectangle = 50 × 72 = 3600 cm2

Now, area of wooden frame = 3600 – 2280 = 1320 cm2

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Chapter 9: Perimeter and Area - Exercise [Page 293]

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NCERT Exemplar Mathematics [English] Class 7
Chapter 9 Perimeter and Area
Exercise | Q 117. | Page 293

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