Question

A rectangular carpet has a perimeter of 194 inches. The length of the carpet is 67 inches more than the width. What are the dimensions of the​ carpet?

Answer 1

The dimensions of rectangle are:

Width = 15 inches

Length = 82 inches

Explanation:

Perimeter of rectangle = 1944 inches

Let

Width of rectangle = w

Length of rectangle = w+67

We need to find the dimensions (length and width) of the carpet

The formula used will be:
`Perimeter\:of\:rectangle=2(Length+Width)`

Putting values and finding dimensions

`Perimeter\:of\:rectangle=2(Length+Width)\\194=2(w+67+w)\\194=2(2w+67)\\194=4w+134\\Swirching\:sides\\4w+134=197\\Subtracting\:134\:on\:both\:sides\\4w+134-134=194-134\\4w = 60\\Divide\:both\:sides\:by\:4\\(4w)/(4)=(60)/(4)\\w=15`

So, we get w = 15

Now, finding length : w+67 = 15+67 = 82

Therefore the dimensions of rectangle are:

Width = 15 inches

Length = 82 inches