Question

The length and width of a rectangle are consecutive even integers. The perimeter is 68 meters. Find the length

and width
The length is
meters long while the width is
meters

Answer 1

The dimensions are 16 meters by 18 meters

Explanation:

P = 2(l+w)

is the formula for the perimeter of a rectangle.

We know the length is 2 more than the width ( consecutive even integers)

l = w+2

P = 2 (w+2+w)

P = 2(2w+2)

68 = 2 (2w+2)

Divide each side by 2

34 = 2w+2

Subtract 2

34-2 = 2w+2-2

32 = 2w

Divide by 2

32/2 = 2w/2

16 =w

l = w+2

l =16+2

l = 18

The dimensions are 16 meters by 18 meters