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Uniform border or extension around a rectangle: area of the border

This type of question, asked 2 times: CDS 2 2019, CDS 1 2023. All 2 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    CDS 2 2019

    79
    A rectangular red carpet of size 6 ft ×\times 12 ft has a dark red border 6 inches wide. What is the area of the dark red border ?

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  2. Question 2

    CDS 1 2023

    85
    The plinth of a house has an area of 200 square metres. It is rectangular in shape and its length and breadth are in the ratio 2:12 : 1. The owner of the house extends the terrace by 1 m on each side. What is the percentage of area that has increased in the terrace relative to the plinth ?

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