Answered

Welcome to Westonci.ca, the Q&A platform where your questions are met with detailed answers from experienced experts. Connect with professionals ready to provide precise answers to your questions on our comprehensive Q&A platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

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.

Sagot :

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

Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.