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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.
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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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