Question 127876This question is from textbook Discovering Geometry
: We just started a lesson about rectangles and parallelograms. The question I need your help with is how do I draw and label a figure with A = 64 cm squared and P = 64 cm? Since the question uses the term "figure", I guess it could be ANY type of figure, but since the lesson is about rectangles and parallelograms, I guess it is one of those. I know that the parallelogram A = b x h and that the P = (2 x b) + (2 x h). I also know that if the "figure" I am looking for is a parallelogram, then b x h = 64 cm squared and that (2 x b) + (2 x h) = 64 cm. I tried to solve for one variable in one equation and substitute that in the other equation but I keep getting stuck with the 64 cm in one equation and 64 cm squared in the other equation. Can you please help me solve this? My teacher gave our class a hint that we should consider fractions in our solution, but I don't know how to use this hint! Thanks.
This question is from textbook Discovering Geometry
Answer by scott8148(6628)   (Show Source):
You can put this solution on YOUR website! a rectangle is easiest __ let x=length and y=width
x+y=32 __ y=32-x
xy=64
substituting __ (32-x)x=64 __ 32x-x^2=64 __ 0=x^2-32+64
use quadratic formula to find x, then substitute to find y
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