Question

The perimeter of a rectangular Garden is 43.8 ft the length is 12.4 Ft what is the width a 6.2 ft b19.0 ft C 15.7 ft D 9.5 ft

Answer 1

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

\[
P = 2L + 2W
\]

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

We know:
- \( P = 43.8 \) ft
- \( L = 12.4 \) ft

Substituting the known values into the formula:

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

Calculating \( 2(12.4) \):

\[
2(12.4) = 24.8
\]

Now substituting that back into the perimeter equation:

\[
43.8 = 24.8 + 2W
\]

Subtract \( 24.8 \) from both sides:

\[
43.8 - 24.8 = 2W
\]

\[
19 = 2W
\]

Now, divide both sides by \( 2 \):

\[
W = \frac{19}{2} = 9.5 \text{ ft}
\]

Thus, the width of the garden is \( 9.5 \) ft.

So the correct answer is **D) 9.5 ft**.