A picture is painted on a cardboard 8 cm long and 5 cm wide such that there is a margin of 1.5 cm along each of its sides. Find the total area of the margin.

Open in App

Solution

Length (l) of cardboard = 8 cm

Breadth (b) of cardboard = 5 cm

Area of cardboard including margin = l × b = 8 × 5 = 40 cm²

From the figure, it can be observed that the new length and breadth of the cardboard, when margin is not included, are 5 cm and 2 cm respectively.

Area of the cardboard not including the margin = 5 × 2 = 10 cm²

Area of the margin = Area of cardboard including the margin − Area of cardboard not

including the margin

= 40 − 10 = 30 cm²

Suggest Corrections

Similar questions

Question 3
A picture is painted on a cardboard 8 cm long and 5 cm wide such that there is a margin of 1.5 cm along each of its sides. Find the total area of the margin.

Q. A painting 8 cm long and 5 cm wide is painted on a cardboard such that there is a margin of 1.5 cm along each of its sides. Fund the total area of the margin.

A painting $40 c m$ long and $28 c m$ wide is pasted on a cardboard such that there is a margin of $2 c m$ along each of its sides. Find the area of the margin.

Q. A poster of size 10 cm by 8 cm is pasted on a sheet of cardboard such that there is a margin of width 1.75 cm along each side of the poster. Find (i) the total area of the margin (ii) the cost of the cardboard used at the rate of Re 0.60 per cm².

A model of a rectangular park is having a grass field of 18 cm long and 15 cm wide such that there is a path of 1.5 cm wide along each of its sides extending outside on each side of the park. The area of the path is 108 $c m^{2}$ .

Join BYJU'S Learning Program