Question

The perimeter of a rectangle is 30 cm. Its width is 3 cm. Which equation can represent the perimeter of the rectangle if L= length? (please explain how you got the answer)

A.) 3 + L = 30
B.) 3L = 30
C.) 6 + 2L = 30
D.) 6L = 30

Answer 1

The equation that can represent the perimeter of the given rectangle is

6 + 2L = 30, option c is correct.

Given,

width of rectangle = 3 cm

length of rectangle = L

perimeter of rectangle = 30 cm

equation of perimeter of rectangle = 2 × (L + W)

By substituting the values of width and perimeter we can get the equation,

perimeter = 2 × (L + W)

=> 30 = 2 × (L + 3)

=> 30 = 2L + 6

=> 6 + 2L = 30

Therefore, the equation of the perimeter of a rectangle is 6 + 2L = 30.