Answered

Westonci.ca connects you with experts who provide insightful answers to your questions. Join us today and start learning! Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

A rectangle has an area of 30 square meters and a perimeter of 34 meters. What are the dimensions of the rectangle?

Sagot :

[tex]The\ rectangle:a\ \times\ b\\\\ \left\{\begin{array}{ccc}ab=30\\2a+2b=34&/:2\end{array}\right\\\\\left\{\begin{array}{ccc}ab=30\\a+b=17\end{array}\right\\\\\left\{\begin{array}{ccc}ab=30\\a=17-b\end{array}\right\\\\substitute:\\\\(17-b)b=30[/tex]

[tex]-b^2+17b-30=0\\\\a=-1;\ b=17;\ c=-30\\\\\Delta=b^2-4ac\\\\\Delta=17^2-4\cdot(-1)\cdot(-30)=289-120=169;\ \sqrt\Delta=\sqrt{169}=13\\\\b_1=\frac{-17-13}{2\cdot(-1)}=\frac{-30}{-2}=15;\ b_2=\frac{-17+13}{2\cdot(-1)}=\frac{-4}{-2}=2\\\\a_1=17-15=2;\ a_2=17-2=15\\\\Answer:The\ rectangle:15m\ \times\ 2m.[/tex]
hernandezcitlali

Answer:

15m x2m

Step-by-step explanation:

We hope this information was helpful. Feel free to return anytime for more answers to your questions and concerns. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.