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

The dimensions are 16 meters by 18 meters

Step-by-step 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

"image"

step-by-step explanation:

in most of these problems, the notation is that the point with a "prime" is the image of the point without. that is, b' is the image of b.

here, there is no dilation or reflection. there is simply translation (with no direction shown). which figure you call the "preimage" and which one you call the "image" is up to you. as a matter of convention, the naming is as described above.