a large painting has a length of 18 inches and width of 12 inches. If each dimension is reduced by x inches to make the ratio of length to w

Question

a large painting has a length of 18 inches and width of 12 inches. If each dimension is reduced by x inches to make the ratio of length to width 5 to 3, what is the value of x

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Dâu 3 years 2021-08-08T11:45:01+00:00 1 Answers 94 views 0

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  1. Sigrid
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    2021-08-08T11:46:10+00:00
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    Answer:

    The value of x = 3.

    Step-by-step explanation:

    The ratio between length and width is given by:

    \frac{L}{W}=\frac{5}{3}

    Where:

    • L represents the new length
    • W represents the new width

    Now, we know that each dimension is reduced by x inches, it means:

    L=18-x

    W=12-x

    Then, we will have:

    \frac{18-x}{12-x}=\frac{5}{3}

    Finally, we just need to solve it for x.  

    3(18-x)=5(12-x)

    5x-3x=60-54

    2x=6

    x=3

    Therefore, the value of x = 3.

    I hope it helps you!

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