Answered

Find the best solutions to your problems with the help of IDNLearn.com's experts. Ask anything and receive prompt, well-informed answers from our community of experienced experts.

The perimeter of a rectangle is 68cm. If the length is 23 cm , how wide is the rectangle? First write an equation you can use to answer this question.use w as your variable in the equation. Then slove for the width.

Sagot :

KitdaAneekidn

Answer:

w = 11

The width is 11 cm.

Step-by-step explanation:

Since we have one of the side lengths the the perimeter, we can set up the equation to solve for perimeter and plug in the values that we are given in the problem and solve for the unknown (w).

Solving:

[tex]\[P = 2l + 2w \]~~(\text{P stands for perimeter})[/tex]

[tex]\text{Where:}\\\begin{itemize} \item \( P \) is the perimeter, \item \( l \) is the length, \item \( w \) is the width.\end{itemize}[/tex]

[tex]\text{Substitute these values into the formula:}\[68 = 2 \times 23 + 2w\]\[2 \times 23 = 46\]Substitute this value into the equation:\[68 = 46 + 2w\]Subtract 46 from both sides:\[68 - 46 = 2w\]Simplify:\[22 = 2w\]Divide both sides by 2:\[\frac{22}{2} = w\]\[w = 11\][/tex]

Therefore, the width of the rectangle is 11 cm.

Thank you for joining our conversation. Don't hesitate to return anytime to find answers to your questions. Let's continue sharing knowledge and experiences! IDNLearn.com is your reliable source for accurate answers. Thank you for visiting, and we hope to assist you again.