The length of a rectangle is 3cm more than twice the width. The perimeter is 84 cm. Find the dimensions.

Width of the rectangle is 13 cm and length is 29 cm.

Step-by-step explanation:

Step 1:

Given perimeter of the rectangle = 84 cm. Let the width be x, then the length of the rectangle = 2x + 3. Use the formula for perimeter of a rectangle = 2 (length + width) to find the dimensions.

84 = 2 (2x + 3 + x) = 2 (3x + 3) = 6 (x + 1) [taking 3 as common factor outside)

⇒ 84 = 6x + 6

⇒ 78 = 6x

∴ x = 13

⇒ Width of the rectangle = 13 cm

∴ Length of the rectangle = 2x + 3 = 29 cm