Answered

Westonci.ca is your trusted source for accurate answers to all your questions. Join our community and start learning today! Connect with a community of experts ready to help you find solutions to your questions quickly and accurately. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

A rectangular city lot has an area of 1000 square meters. If the length of the lot is 10 meters more than twice its width, find its length and width.

Sagot :

Answer: l=50 m, w=20 m

Step-by-step explanation:

Given

A rectangular city has an area of [tex]1000\ m^2[/tex]

Also, length is 10 m more than twice its width

suppose width is w

So, length is given by

[tex]\Rightarrow l=10+2w[/tex]

The area is given by

[tex]\Rightarrow A=l\times w\\\Rightarrow 1000=(10+2w)\times w\\\Rightarrow 2w^2+10w-1000=0\\\Rightarrow w^2+5w-500=0\\\Rightarrow w^2+25w-20w-500=0\\\Rightarrow (w+25)(w-20)=0\\\therefore w=20\ m\\l=10+2w=10+2\times 20=50\ m[/tex]

Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.