Westonci.ca offers quick and accurate answers to your questions. Join our community and get the insights you need today. Connect with a community of experts ready to help you find accurate solutions to your questions quickly and efficiently. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.
Sagot :
Answer:
x - 90
Step-by-step explanation:
The area of a rectangle is length times width. If the width is x - 60, then the length times x - 60 equals x^2-150x+5400. Let the length be l. Then:
[tex](x-60)l=x^2-150x+5400[/tex]
First, we must factor the right hand side of the equation. We need two numbers that multiply to 5400 and sum to -150. Because two numbers that are negative multiplied together equals a positive number, we can just have two negative numbers that multiply to 5400 and sum to -150. Because -150 is so far from 5400, the multiples must be close to each other. We see that 60 times 90 are the closest multiples, and that 60+90 = 150.
We can factor this as (x - 60)(x-90):
[tex](x-60)l=(x-60)(x-90)[/tex]
Dividing both sides by (x - 60), we have:
[tex]l = (x - 90)[/tex]
We hope this information was helpful. Feel free to return anytime for more answers to your questions and concerns. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.