Question

The perimeter of a rectangle is 38 inches. If the length is 3 inches more than the width, find the width.

A. 17½ inches
B. 8 inches
C. 11 inches
D. 14½ inches

Answer 1

B. 8 inches

Step-by-step explanation:

p=38

l=3+w

w=w

p=(l+l)+(w+w)

38=(3+w+3+w)+(w+w)

38=(3+3)+(w+w+w+w)

38=6+4w

-6 -6

32=4w

/4 /4

8=w

Answer 2

The width of the rectangle is 8 inches.

Step-by-step explanation:

To find the width of the rectangle, we need to set up an equation using the information given. Let's assume the width of the rectangle is x inches. The length of the rectangle is 3 inches more than the width, so we can say the length is x + 3 inches. The equation for the perimeter of a rectangle is P = 2L + 2W. In this case, the perimeter is given as 38 inches. Substituting the values into the equation, we get 38 = 2(x + 3) + 2x. Simplifying the equation and solving for x, we find that the width of the rectangle is 8 inches.