A rectangle plates has area of 30 1/16 square inches. If the width of the plates is 4 5/8 inches, what is it length in inches?

A rectangle plates has area of 30 1/16 square inches. If the width of the plates is 4 5/8 inches, what is it length in inches?

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  1. Answer:

    [tex]l=6\dfrac{1}{2} \ \text{inches}[/tex]

    Step-by-step explanation:

    Given that,

    The width of the rectangular plate = [tex]4\dfrac{5}{8}=\dfrac{37}{8}\ \text{inches}[/tex]

    The area of a rectangular plate = [tex]30\dfrac{1}{16}=30.0625\ in^2[/tex]

    We know that, the area of a rectangular is given by :

    A = lb, l is the length

    [tex]l=\dfrac{A}{b}\\\\l=\dfrac{30.0625}{\dfrac{37}{8}}\\\\l=6.5\ \text{inches}[/tex]

    or

    [tex]l=\dfrac{13}{2}\ \text{inches}\\\\=6\dfrac{1}{2} \ \text{inches}[/tex]

    So, the length of the rectangular plate is [tex]6\dfrac{1}{2} \ \text{inches}[/tex]

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