Question

The length of a rectangle is 3 centimeters more than 3 times the width. If the perimeter of the rectangle is 46 centimeters, find the dimensions of the rectangle.

Answer 1

Length = 13 cm

Width = 10 cm

Explanation:

We are told that;

• The length of the rectangle is 3 cm more than the width

• Thus taking, the width as x cm
• Then, the length will be (x+3) cm
• The perimeter of the rectangle is 46 cm

We are required to determine the dimensions of the rectangle;

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

P = 2(l+w)

In this case;

46 = 2 ( x + x + 3)

Thus;

4x + 6 = 46

Solving for x,

4x = 40

x = 10

This means, the width is 10 cm, while the length is 13 cm

Therefore, the dimensions of the rectangle is length 13 cm and width 10 cm