# 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.

**Solution:**

Let's draw a figure as shown below.

Let the blue region represent the cardboard and the yellow region represent the picture.

Area of the cardboard = Length × Breadth

= 8 cm × 5 cm

= 40 cm^{2}

Length of the inner cardboard = 8 cm - (1.5 × 2) cm

= 8 cm - 3 cm

= 5 cm

Breadth of the inner cardboard = 5 cm - (1.5 × 2) cm

= 5 cm - 3 cm

= 2 cm

Area of the inner cardboard = Length × Breadth

= 5 cm × 2 cm

= 10 cm^{2}

Area of the margin = Area of the cardboard - Area of the inner cardboard

= 40 cm^{2} -10 cm^{2}

= 30 cm^{2}

Hence, total area of margin = 30 cm^{2}

**Video Solution:**

## 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.

### Maths NCERT Solutions Class 7 - Chapter 11 Exercise 11.4 Question 3

**Summary:**

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. The total area of the margin is 30 cm^{2}.