Question

The perimeter of any rectangle in which the length is 4 more than twice the width is P=6w+8, where w is the width. Which formula can be used to find the width given the perimeter? o w=P-(4)/(3) o w=(1)/(6)P-8 o w=-(P+8)/(6) o w=(P-8)/(6)

Answer 1

w=(P-8)/(6)

Explanation:

The perimeter P of a rectangle is given by the formula P = 2L + 2W, where L is the length and W is the width.

According to the problem, the length L is "4 more than twice the width W," which can be expressed as L = 2W + 4 .

Substitute this expression for \( L \) into the perimeter formula:

P = 2(2W + 4) + 2W

Simplify:

P = 4W + 8 + 2W

P = 6W + 8

Now, solve this equation for \( W \) to find the width. Subtract 8 from both sides and then divide by 6:

6W = P - 8

W = {P - 8}/{6}

So, the correct formula to find the width (( W )) given the perimeter ( P )) is ( W = {P - 8}/{6} ).