SOLUTION: A rectangular Garden has an area of 132 m^2 and a perimeter of 46 m. What equation would describe the area of the garden? Write the equation in terms of the width of the garden

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Question 887007: A rectangular Garden has an area of 132 m^2 and a perimeter of 46 m. What equation would describe the area of the garden? Write the equation in terms of the width of the garden
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
x and y dimensions.
2x%2B2y=132 and xy=46.
The perimeter equation can be divided by 2 on both sides giving a simpler x%2By=66.
If you want y as width then x=66-y, and substitute into the area equation:
highlight%28%2866-y%29%2Ay=46%29, your desired quadratic equation. Adjust the form as you want.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

A rectangular Garden has an area of 132 m^2 and a perimeter of 46 m. What equation would describe the area of the garden? Write the equation in terms of the width of the garden

Let width be W
Since perimeter = 46, then 2L + 2W = 46_____L + W = 23______L = 23 - W
W(23 - W) = area, or 23W+-+W%5E2+=+132______highlight_green%28highlight_green%28A%28W%29+=+-+W%5E2+%2B+23W+-+132%29%29