the perimeter of a rectangle is 32 centimeters. The length is 1 cm more than twice the width. Find the dimensions of the rectangle.

Answer: length = 11cm, width = 5cm

Step-by-step explanation:

The formula for calculating the perimeter of a rectangle is given by:

P = 2 (L + w)

The length is 1 cm more than twice the width implies:

L = 1 + 2w

substituting into the formula, we have

32 = 2 (1 + 2w + w)

32 = 2 (1 + 3w)

32 = 2 + 6w

32 - 2 = 6w

30 = 6w

Therefore:

w = 5

then

L = 1 + 2w

L = 1 + 2 (5)

L = 1 + 10

L = 11

Therefore, the length is 11 cm and the width is 5cm