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

1 answer

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.