85.2k views
2 votes
The width of a rectangular Play ground is 18 m less than the length find the width when the perimeter of the rectangle is 84 m

User Tpgould
by
8.6k points

1 Answer

4 votes

Solution

Step 1

Write the formula for the perimeter of a rectangle'


\begin{gathered} Perimeter\text{ of a rectangle = 2L + 2W} \\ L\text{ = length} \\ W\text{ = width} \end{gathered}

Step 2

Let then length = m

Width = m - 18

perimeter = 84m

Step 3


\begin{gathered} Perimeter\text{ = 2L + 2W} \\ 84\text{ = 2m + 2\lparen m - 18\rparen} \\ 84\text{ = 2m + 2m - 36} \\ 84\text{ + 36 = 4m} \\ 120\text{ = 4m} \\ \text{m = }(120)/(4) \\ \text{m = 30} \end{gathered}

Final answer

Length = 30m

Width = 12m

User Ethan May
by
7.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories