Question

If the length of a rectangle is 1 cm more than three times the width and if the perimeter of the rectangle is 34 cm what is the dimension of the rectangle

Answer 1

width: 4cm

length: 13cm

Explanation:

Let the width of the rectangle be w. From the problem, we can infer that the length would be equal to 3w + 1. The formula for the perimeter of a rectangle is:

P = 2(l + w)

where P is the perimeter, l is the length, and w is the width.

We can substitute our values into the equation:

34 = 2(3w + 1 + w)

17 = 3w + 1 + w

17 = 4w + 1

16 = 4w

w = 4

We can substitute this into the length:

3w + 1

3(4) + 1

12 + 1

13