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
