Answered

Westonci.ca is the best place to get answers to your questions, provided by a community of experienced and knowledgeable experts. Explore our Q&A platform to find reliable answers from a wide range of experts in different fields. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

Rashau made a rectangular frame for her latest oil painting. The length is 28 centimeters more than triple the width. The perimeter of the frame is 136 centimeters. Find the length and the width of the frame

Sagot :

MattD
The length is about 28 more than three times the width. Denoted as (a) width, and as (b) the length. Then move on to lay the system of equations, as done below:

[tex]\begin{cases}2a+2b=136\\b=3a+28\end{cases}[/tex]
[tex]\begin{cases}2a+2b=136|:2\\b=3a+28\end{cases}[/tex]
[tex]\begin{cases}a+b=68\\b=3a+28\end{cases}[/tex]
[tex]\begin{cases}a+3a+28=68\\b=3a+28\end{cases}[/tex]
[tex]\begin{cases}4a=40|:4\\b=3a+28\end{cases}[/tex]
[tex]\begin{cases}a=10\\b=3*10+28\end{cases}[/tex]
[tex]\begin{cases}a=10\\b=58\end{cases}[/tex]

The short side has a length of 10 cm, and 58 cm long.
We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.