The diagram shows a track composed with a semicircle on each end. The area of the rectangle is 8,400 square meters. What is the perimeter of

Question

The diagram shows a track composed with a semicircle on each end. The area of the rectangle is 8,400 square meters. What is the perimeter of the th rack? Use 3.14 for pi

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Trung Dũng 4 years 2021-08-24T13:58:29+00:00 1 Answers 30 views 0

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  1. yenoanh
    0
    2021-08-24T13:59:38+00:00
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    Answer:

    468.4 meters

    Step-by-step explanation:

    Find the width of the rectangle.

    The area of a rectangle is A=length*width. Substitute the values of length and area and solve for width.

    A=length*width

    8,400=140*width

    60= width

    Use the width of the rectangle to find the circumference of the semicircles. Since each semicircle is half of a​ circle, the perimeter of the two semicircles is equal to the circumference of one circle.

    The circumference of a circle is equal to pi​d, where d is the diameter. The diameter of the semicircle is the same as the width of the rectangle.

    ​So, the diameter is 60 meters. Substitute the diameter into the formula for the circumference and simplify using 3.14 for pi.

    ≈188.4

    (2 times 140)+ 188.4

    ​So, the perimeter of the track is 468.4 meters.

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