3. The length of a football ground is 100 m and width 40 m. Find
the perimeter of the ground. Also find the cost of fencing i

3. The length of a football ground is 100 m and width 40 m. Find
the perimeter of the ground. Also find the cost of fencing it
with wire at the rate of 2.50 per metre.

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2 thoughts on “3. The length of a football ground is 100 m and width 40 m. Find<br />the perimeter of the ground. Also find the cost of fencing i”

  1. Given:

    • Length of the ground = 100 m
    • Breadth of the ground = 40 m
    • Cost of fencing it with wire is at the rate of ₹2.50 per metre.

    To find:

    • Perimeter of the ground.
    • Cost of fencing the ground.

    [tex] \: [/tex]

    Solution:

    As the dimensions of the football ground are different (100 m and 40 m), hence the ground is in rectangular shape. Therefore we’ll apply the formula for rectangle only.

    We have to fence the ground, therefore we’ll find the perimeter.

    [tex] \: [/tex]

    [tex]\boxed {\mathfrak {\red {Perimeter\ of\ rectangle = 2(length\ +\ breadth)}}}[/tex]

    Perimeter of ground = 2 (100+40)

    Perimeter of ground = 2×140

    Perimeter of ground = 280 m

    [tex] \: [/tex]

    Cost of fencing 1 m of ground = ₹2.50

    Cost of fencing the entire ground = ₹ (280×2.50)

    = ₹ 700

    [tex] \: [/tex]

    Answers:

    • Perimeter of the football ground is [tex]\underline {\sf {\pink {280\ m}}}[/tex]
    • Cost of fencing the ground is [tex]\underline {\sf {\pink {₹700}}}[/tex] at ₹2.50 per metre.
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