Mathematics

Question

The area of a rectangular patio is square yards, and its length is yards. What is the patios width in yards?

1 Answer

  • Complete Question:

    As you missed to add the area and length value. So, after a little research I was able to find the complete question. I will answer the question based on this complete question I am mentioning, but hopefully it would clear your concept anyways. So, here is the complete question.

    The Area of a rectangular patio is 5 5/8 square yards, and it's length is 1 1/2 yards.What is the patio's width,in yards?

    Answer:

    The width of patios is [tex]w = \frac{15}{4} yards[/tex].

    Step-by-step explanation:

    As the area of a rectangular patio is [tex]A = 5\frac{5}{8}[/tex] square yards.

    ⇒ [tex]A = 5\frac{5}{8}[/tex]

    ⇒ [tex]A = 5\frac{5}{8}[/tex] can be written as : [tex]A = \frac{45}{8}[/tex]

    The length of a rectangular patio is [tex]l = 1\frac{1}{2}[/tex] square yards.

    ⇒[tex]l = 1\frac{1}{2}[/tex]

    ⇒[tex]l = 1\frac{1}{2}[/tex]  can be written as : [tex]l = \frac{3}{2}[/tex]

    As the area of rectangular patio can be computed by multiplying the length and width. So, width [tex](w)[/tex] can be computed by dividing the Area by length.

    [tex]A = lw[/tex]

    [tex]w = \frac{A}{l}[/tex]

    So, [tex]w = \frac{\frac{45}{8}}{\frac{3}{2} }[/tex]

    [tex]w = (\frac{45}{8}) (\frac{2}{3} )[/tex]

    [tex]w = \frac{90}{24}[/tex]

    [tex]w = \frac{15}{4}[/tex] or [tex]w = 3\frac{3}{4}[/tex]

    Hence, the width of patios is [tex]w = \frac{15}{4} yards[/tex].

    Keywords: area of rectangle, width, length

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