Question 4

Question

A'Leila is building a pen for her pet donkey. The pen is a rectangle with one side measuring b yards and the adjacent side measuring a yards.

a rectangular box with 4 dimensions B on the top part and A on the left side

Answer 1

To help A'Leila with building a rectangular pen for her pet donkey, we can describe the calculations for the area and perimeter of the pen.

1. Dimensions:

   • Let \( a \) be the length of one side of the rectangle (in yards).
   • Let \( b \) be the length of the adjacent side of the rectangle (in yards).

2. Area of the Pen: The area \( A \) of a rectangle is given by the formula: \[ A = a \times b \] This formula means that to find the area, you multiply the lengths of the two adjacent sides.

3. Perimeter of the Pen: The perimeter \( P \) of a rectangle is given by the formula: \[ P = 2(a + b) \] This formula means you add the lengths of all sides together (summing both lengths and widths) and multiply by 2.

4. Visual Representation: To visualize the pen as a rectangle, imagine a box where:

   • The top side is labeled \( b \) (the length).
   • The left side is labeled \( a \) (the width).
   • The other two sides will also measure \( a \) and \( b \) respectively.

5. Construction: When constructing the pen, A'Leila should ensure that both dimensions (length and width) are accurately measured to create the correct rectangular shape. Depending on the area needed for her donkey, she can adjust the values of \( a \) and \( b \) accordingly.

If you have specific values for \( a \) and \( b \), I can help you calculate the area and perimeter!