Question

Question 117

Dimensions of a painting are $60cm\times 38cm.$ Find the area of the wooden frame of width 6 cm around painting as shown in given figure.

Answer 1

We have,
Length and breadth of inner rectangle is 60 cm and 38 cm, respectively.
$\therefore$ Area of inner rectangle $=60\times 38=2280c{m}^2$ [$\because$ area of rectangle $=length\times breadth$]
$\therefore$ Breadth of outer rectangle = 38 + 6 + 6 = 50 cm
Length of outer rectangle = 60 + 6 + 6 = 72 cm [$\because$ width of frame = 6 cm, given]
$\therefore$ Area of outer rectangle $=50\times 72=3600c{m}^2$
Now, area of wooden frame $=3600-2280=1320c{m}^2$