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- A square flower bed has an area of 169/36 square yards. What is the perimeter of the flower bed?


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Answer:

Step-by-step explanation:

Length of each side = √(169/36)

= √169/√36

= 13/6 yards

Perimeter = 4(13/6) = 26/3 yards

Perimeter of the flower bed is 26 / 3  yards

Given:

[tex]Area\ of\ square\ flower\ bed\ = \frac{169}{13} square\ yard\\\\[/tex]

Find:

Perimeter of the flower bed

Computation:

Area of square = side²

So,

[tex]Area\ of\ square\ flower\ bed\ = \frac{169}{13} square\ yard\\\\Side^2 = \frac{169}{36} \\\\Side^2 = [\frac{13}{6}]^2 \\\\Side = \frac{13}{6} \ yard[/tex]

Perimeter of square = 4(Side)

[tex]Perimeter\ of\ the\ flower\ bed = 4(\frac{13}{6} ) \\\\Perimeter\ of\ the\ flower\ bed = \frac{26}{3} \ yards[/tex]

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