Question

A painting is drawn on a cardboard 22cm long and 12cm wide such that there is a margin of 2.5 meter cm along each side. Find the total are of the margin

Answer 1

`\text{Area of margin}=145\text{ cm}^2`

Explanation:

We have been given that a painting is drawn on a cardboard 22 cm long and 12 cm wide such that there is a margin of 2.5 meter cm along each side. We are asked to find the area of the margin.

The total area of the margin would be equal to area of whole cardboard minus area of painting.

`\text{Area of whole cardboard}=22\text{ cm}* 12\text{ cm}`

`\text{Area of whole cardboard}=264\text{ cm}^2`

Since there is a margin of 2.5 meter cm along each side, so sides of painting would be 2,5 cm smaller on four sides. The sides painting would be
`22-5=17` and
`12-5=7`.

`\text{Area of painting}=17\text{ cm}* 7\text{ cm}`

`\text{Area of painting}=119\text{ cm}^2`

`\text{Area of margin}=264\text{ cm}^2-119\text{ cm}^2`

`\text{Area of margin}=145\text{ cm}^2`

Therefore, the total area of the margin is 145 squared cm.