Math

A circular copper wire of radius 7cm is bent to form a rectangle. If the breadth and the length of the rectangle are in the ratio 4:7 respectively. What is the breadth of the rectangle?

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  1. Given:
    radius=7cm
    Circumference=perimeter of rectangle
    Ratio of breadth:length = 4:7

    Let b=breadth,
    then length=(7/4)b
    circumference=2π(7)=14π
    circumference=perimeter
    therefore
    14π=2(b+(7/4)b)
    14&;i;=2(1+7/4)b
    (11/2)b=14π
    b=14π(5/11)=7.997=8 cm approx.

    Check:
    perimeter=2(8+(7/4)8)=44 cm
    circumference = 14π=43.98=44 cm approx. .......good!

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  2. A path that is 2 feet wide surrounds the pond.

    What is the combined area of the pond and the path?.

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