Question

The length of a rectangle is 3 1/6 cm longer than the width. The perimeter of the rectangle is 15 1/3 cm. What are the width and length of this rectangle?

Answer 1

Answer:

$Width = 2\frac{1}{4}cm$

$Length=5\frac{5}{12} cm$

Step-by-step explanation:

Data from the question;

Perimeter of a rectangle is $15\frac{1}{3}$ cm

Length is $3\frac{1}{6}$ cm longer than the width

We are supposed to determine the length and the with of the rectangle;

Assuming, the width x cm

Then, the length is $x+3\frac{1}{6}$ cm

We need to know that the perimeter of a rectangle is given by;

Perimeter = 2 ( length + width)

Therefore;

$15\frac{1}{3}= 2 ( x + (x+3\frac{1}{6}))$

$15\frac{1}{3}=2(2x+3\frac{1}{6})$

Thus;

$15\frac{1}{3}=4x+6\frac{1}{3}$

$4x=9\\x=2\frac{1}{4}$

Therefore;

$Width = 2\frac{1}{4}cm$

$Length = x + 3\frac{1}{6}$

           $=2\frac{1}{4}+3\frac{1}{6}$

            $=5\frac{5}{12} cm$

Therefore; the length is $5\frac{5}{12}$ cm while the width is $2\frac{1}{4}$ cm