Question

What is its length? Enter the correct answer. The perimeter of a rectangle is twice the sum of its length and its width. The perimeter is 34 meters and its length is 2 meters more than twice its width. 000 Clear all​

Answer 1

Answer:

Width = 5 meters

Length = 12 meters

Step-by-step explanation:

Perimeter of a rectangle = 2(length + width)

Perimeter = 34 meters

Width = x meters

Length = 2x + 2 meters

Perimeter of a rectangle = 2(length + width)

34 = 2{(2x+2) + x}

34 = 2(2x + 2 + x)

34 = 2(3x + 2)

34 = 6x + 4

34 - 4 = 6x

30 = 6x

x = 30 / 6

x = 5 meters

Width = x meters = 5 meters

Length = 2x + 2 meters

= 2(5) + 2

= 10 + 2

= 12 meters