The perimeter of a rectangle is 61 centimeters. The length is 4.1 centimeters longer than the with w. Write and solve an equation to find the width of the rectangle.

Width of the rectangle =13.2 cm

Step-by-step explanation:

Let l=length of the house and w=width of the house

From the question;  l=4.1 + w

Perimeter is given to be 61

Perimeter = l + l + w + w   (1)

                but l=4.1 + w      and   perimeter =61

substituting the above into equation (1)   Thus;

61  =  4.1 + w + 4.1 +w +w +w

we will rearrange this equation

61=4.1 + 4.1 +w + w+ w +w

61 = 8.2 + 4w

subtract 8.2 from both-side of the equation

61 - 8.2  = 8.2 - 8.2 + 4w

52.8   =   4w

Divide both-side of the equation by 4 to get the value of w

52.8/4 = 4w/4

13.2  =  w

w=13.2

Therefore the width of the rectangle is 13.2 cm

The length of the rectangle is l = 4.1 +w

                                                   =4.1 +13.2

                                                    =17.3 cm

45 minutes

step-by-step explanation: