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A rectangular banner covers an area of 2 7/8ft2. The length of the banner is 3/4ft. What is the width of the banner in ft?

Sagot :

Answer:

Width of the rectangular banner is [tex]3\frac{5}{6}[/tex] ft.

Step-by-step explanation:

Area of the rectangular banner = [tex]2\frac{7}{8}[/tex] square feet

                                                    = [tex]\frac{23}{8}[/tex] square feet

Area of rectangle is given by,

Area = Length × Width

Length of the banner = [tex]\frac{3}{4}[/tex] feet

From the formula,

[tex]\frac{23}{8}=\frac{3}{4}\times W[/tex]

W = [tex]\frac{\frac{23}{8} }{\frac{3}{4} }[/tex]

    = [tex]\frac{23}{8}\times \frac{4}{3}[/tex]

    = [tex]\frac{23}{6}[/tex]

     = [tex]3\frac{5}{6}[/tex] ft

Therefore, width of the rectangular banner is [tex]3\frac{5}{6}[/tex] ft