Question

The perimeter of a rectangular garden is 43.8 feet. It's length is 12.4 feet. What is it's width?
9.5ft, 6.2 ft, 15.7ft, 19.0ft

Answer 1

To find the width of the rectangular garden, we can use the formula for the perimeter of a rectangle:

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

Where \( P \) is the perimeter, \( L \) is the length, and \( W \) is the width.

Given:
- The perimeter \( P = 43.8 \) feet
- The length \( L = 12.4 \) feet

We can substitute these values into the perimeter formula:

\[
43.8 = 2 \times (12.4 + W)
\]

Now, we can simplify the equation:

1. Divide both sides by 2:

\[
21.9 = 12.4 + W
\]

2. Subtract 12.4 from both sides to solve for \( W \):

\[
W = 21.9 - 12.4
\]
\[
W = 9.5 \text{ ft}
\]

Thus, the width of the garden is **9.5 feet**.