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A school playground is in the shape of a parallelogram. The base of the parallelogram is six times as long as the height. The area of the playground is 5040 square feet. What is the length of the longer side of the playground? Round to the nearest foot.Hint : Use A = bh.

Answer :

Let x be the height, we know that the base is six times as long, this means that the base can be express as:

[tex]b=6x[/tex]

Now, thas we know the height and the base we plug them in the equation for the area and solve for x:

[tex]\begin{gathered} 6x\cdot x=5040 \\ 6x^2=5040 \\ x^2=\frac{5040}{6} \\ x^2=840 \\ x=\sqrt{840} \\ x\approx28.98 \end{gathered}[/tex]

Now, that we know the value of x we can calculate the length of the base (which is the longer side of the playground):

[tex]6(28.98)=173.88[/tex]

Therefore, the length of the longer side is 173.88 ft

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