Question

A rectangle has a perimeter of 84 meters and a length of 35 meters. What is the width of the rectangle?

w=10 meters
w=7 meters
w=8 meters
w=9 meters

Answer 1

The perimeter \( P \) of a rectangle can be calculated using the formula:

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

where \( L \) is the length and \( W \) is the width. Given that the perimeter is 84 meters and the length is 35 meters, we can set up the equation:

\[
84 = 2(35 + W)
\]

Now, divide both sides of the equation by 2:

\[
42 = 35 + W
\]

Next, solve for \( W \) by subtracting 35 from both sides:

\[
W = 42 - 35
\]
\[
W = 7
\]

Thus, the width of the rectangle is \( 7 \) meters.

The correct answer is \( w = 7 \) meters.