Question 954481
On 1cm grid paper I need to draw an enclosure with an area of 94 sq. cm and a perimeter of 60 centimeters. I know how to calculate area and perimeter separately. I do not understand how to create an enclosure that meets the above measurements. Is there a formula to follow or chart to fill in that will help me in the future. Thank you for your help. Sharon
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Draw the picture and you will see the following::
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LW = 94
L+W = 30
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Substitute for "L" and solve for "W"::
L = 30-W
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(30-W)W = 9W
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-W^2 + 30W - 94 = 0
W^2 - 30W + 94 = 0
W = 26.45 ; L = 3.55
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Comment:: The L and W values could be interchanged.
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Cheers,
Stan H.