Question

A rectangle has a length of 8.3 cm and a perimeter of 22.4 cm.



Enter the width of the rectangle, in decimal form, in the box.

Answer 1

To find the width of the rectangle, we can use the formula for the perimeter of a rectangle, which is given by:

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

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

Given that the perimeter \( P = 22.4 \) cm and the length \( L = 8.3 \) cm, we can substitute these values into the perimeter formula:

\[
22.4 = 2 \times (8.3 + W)
\]

Next, we will simplify the equation. Start by dividing both sides by 2:

\[
11.2 = 8.3 + W
\]

Now, subtract \( 8.3 \) from both sides to solve for \( W \):

\[
W = 11.2 - 8.3
\]

Calculating the right side:

\[
W = 2.9
\]

Thus, the width of the rectangle is \( \boxed{2.9} \) cm.