SOLUTION: a woman plans to use one-fourth of her 48-foot-by-100-foot rectangular backyard to plant a garden. find the perimeter of the garden if the length is to be 40 feet greater than the

Question 1031160: a woman plans to use one-fourth of her 48-foot-by-100-foot rectangular backyard to plant a garden. find the perimeter of the garden if the length is to be 40 feet greater than the width.

Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

The area of the backyard is simply 48 times 100. You can do the arithmetic to find the desired area of the garden,

, which is 1/4 of the area of the backyard.

Since the length of the garden needs to be 40 feet longer than the width, you can say that the width is represented by

and the length is represented by

. That means that the area of the garden is not only equal to 1/4 of the area of the backyard, it is also equal to the product of the length times the width, or

Calculate the desired area of the garden, then substitute that value for

. Put the quadratic into standard form and solve for

. Finally, calculate

John

My calculator said it, I believe it, that settles it

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