Rahul pins on a cardboard 25 cm long and 14 cm wide such that there is a margin of 2.5 cm along each of its side. Find the total area of the margin.

Given:

Rahul pins on a cardboard 25 cm long and 14 cm wide such that there is a margin of 2.5 cm along each of its side.

To do:

We have to find the total area of the margin.
Solution:

We know that,

The area of a rectangle of length $l$ and breadth $b$ is $lb$.

Therefore,

Area of the cardboard $=25\times14\ cm^2=350\ cm^2$.

Length of the cardboard including the margin $=25+2.5=27.5\ cm$.

Breadth of the cardboard including the margin $=14+2.5=16.5\ cm$.

Area of the room cardboard including the margin $=27.5\times16.5\ cm^2=453.75\ cm^2$.

This implies,

Area of the margin $=$ Area of the cardboard including the margin $-$ Area of the cardboard excluding margin

$=(453.75-350)\ cm^2$

$=103.75\ cm^2$

The total area of the margin is $103.75\ cm^2$.

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Updated on: 10-Oct-2022

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