Questions: A rectangular room has a perimeter of 70 m and is 20 m long. Write an equation to represent the area.

Solution Steps

To find the area of the rectangular room, we need to determine its width first. Given the perimeter and the length, we can use the perimeter formula to find the width. Once we have the width, we can calculate the area using the area formula for a rectangle.

Given the perimeter \( P \) of the rectangular room is 70 m and the length \( L \) is 20 m, we can use the perimeter formula for a rectangle:

\[ P = 2(L + W) \]

Substituting the known values:

\[ 70 = 2(20 + W) \]

Dividing both sides by 2:

\[ 35 = 20 + W \]

Solving for \( W \):

\[ W = 35 - 20 = 15 \, \text{m} \]

The area \( A \) of a rectangle is given by the formula:

\[ A = L \times W \]

Substituting the values of \( L \) and \( W \):

\[ A = 20 \times 15 = 300 \, \text{m}^2 \]

Final Answer