SOLUTION: The area of a rectangle can be found using the formula 𝐴 = 𝑙𝑤. The area of the rectangle is 364 square centimeters and can also be represented by the expr

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Question 1068986: The area of a rectangle can be found using the formula 𝐴 = 𝑙𝑤. The area of the rectangle is 364 square centimeters and can also be represented by the expression 100𝑔2 + 225𝑔 − 486. If the width is greater than the length, find the value of g as it relates to this rectangle, the numerical value of the length, and the numerical value of the width.


Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Question seems strange but here is a try:

highlight_green%28100g%5E2%2B225g-486=364%29

100g%5E2%2B225g-486-364=0

100g%5E2%2B225g-850=0

4g%5E2%2B9g-34=0

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Discriminant, 81%2B4%2A4%2A34=81%2B16%2A34=625=highlight_green%2825%5E2%29

highlight_green%28g=%28-9%2B-+25%29%2F8%29


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As for numerical length and width, infinitely many combinations. Knowing g does not put much restriction on them. You could try to factorize 100g^2+225g-486.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
The area of a rectangle can be found using the formula 𝐴 = 𝑙𝑤. The area of the rectangle is 364 square centimeters and can also be represented by the expression 100𝑔2 + 225𝑔 − 486. If the width is greater than the length, find the value of g as it relates to this rectangle, the numerical value of the length, and the numerical value of the width. 
Correct answer: 

You decide which answer(s) relates/relate to the rectangle.

Ignore all other answers that DON'T make sense!!