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.

Answer 1

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