The perimeter of a pool table is about 7.8m. four times the length equals nine times the width. What are the dimensions of the table in mete

Question

The perimeter of a pool table is about 7.8m. four times the length equals nine times the width. What are the dimensions of the table in meters

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Adalyn 2 weeks 2021-10-05T02:06:31+00:00 1 Answer 0

Answers ( )

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    2021-10-05T02:08:05+00:00

    Length of table is 2.7 meter and width of table is 1.2 meter

    Solution:

    Let “x” be the length of table

    Let “y” be the width of table

    four times the length equals nine times the width

    Therefore,

    4x = 9y

    x = \frac{9y}{4}

    The perimeter of a pool table is about 7.8m

    Perimeter = 7.8 meter

    2(length + width) = 7.8

    2(\frac{9y}{4} + y) = 7.8\\\\\4.5y + 2y = 7.8\\\\6.5y = 7.8\\\\Divide\ both\ sides\ by\ 6.5\\\\y = 1.2

    Therefore,

    x = \frac{9y}{4}\\\\x = \frac{9 \times 1.2 }{4}\\\\x = 2.7

    Thus length of table is 2.7 meter and width of table is 1.2 meter

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