Mathematics

Question

what is the answer to Jody has a rectangular piece of fabric 7/8 yard long and 4/5 wide. what's the area of the fabric? and Jody shares a piece with her friend what is the area of what each person gets?

2 Answer

  • [tex]A=\frac { 7 }{ 8 } \cdot \frac { 4 }{ 5 } \\ \\ =\frac { 28 }{ 40 } \\ \\ =\frac { 4\cdot 7 }{ 4\cdot 10 } \\ \\ =\frac { 7 }{ 10 } [/tex]

    The area is 7/10 yards squared.

    Divide this are between two:

    [tex]\frac { 7 }{ 10 } \cdot \frac { 1 }{ 2 } \\ \\ =\frac { 7 }{ 20 } [/tex]

    Jody and her friend would each have 7/20 yards squared of the area.
  • Answer:

    The area of the fabric is 7/10 square yards.

    Each person will get 7/20 square yards.

    Step-by-step explanation:

    Length of the rectangular piece of fabric is 7/8 yards

    and the width of the  rectangular piece of fabric is 4/5 yards

    Area of a rectangle is given by

    Area = length √ó width

    On substituting the known values, we get

    [tex]A=\frac{7}{8}\times\frac{4}{5}\\\\A=\frac{7}{10}\text{square yards}[/tex]

    Thus, the area of the fabric is 7/10 square yards.

    Now it has been given that Jody shares the piece with his friend. It means that the area should be divided in two equal parts.

    Hence, each person will get

    [tex]\frac{1}{2}\times\frac{7}{10}=\frac{7}{20}[/tex]

    Each person will get 7/20 square yards.

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