The perimeter of a rectangle is 24cm given that it's width is 5cm , then it's length is
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
To find the length of the rectangle, we use the formula for the perimeter of a rectangle:
$$P = 2(L + W)$$
Where:
• $P$ is the perimeter
• $L$ is the length
• $W$ is the width
Step 1: Identify the given values.
The perimeter $P = 24 \text{ cm}$.
The width $W = 5 \text{ cm}$.
Step 2: Substitute the given values into the perimeter formula.
$$24 = 2(L + 5)$$
Step 3: Solve the equation for $L$.
First, divide both sides by 2:
$$\frac{24}{2} = L + 5$$
$$12 = L + 5$$
Next, subtract 5 from both sides to isolate $L$:
$$12 - 5 = L$$
$$7 = L$$
The length of the rectangle is $\boxed{\text{7 cm}}$.
