If two rectangles have the same perimeter, do they have to be congruent? Explain how you know.

Skip to content# If two rectangles have the same perimeter, do they have to be congruent? Explain how you know.

Mathematics ##
Comments (4) on “If two rectangles have the same perimeter, do they have to be congruent? Explain how you know.”

### Leave a Reply Cancel reply

If two rectangles have the same perimeter, do they have to be congruent? Explain how you know.

Two rectangles with the same perimeter but may not be congruent, because the length and width dimensions of each may be different.

No they do not have to be congruent.

Step-by-step explanation:

Suppose one of them is a perimeter of 24

P = 1 + 1 + 11 + 11

P = 24

The second one has these dimensions

P = 4 + 4 + 8 + 8

P = 24

Do they look like they could be congruent to you? The first one looks long and narrow.

The second one looks like it's heading to be a square. (It's not of course, but it is closer than the long narrow one).

No

Step-by-step explanation:

Take square 4 X 4. Perimeter =16

Take rectangle h2 X w6. Perimeter =16

Clearly the same perimeter and not congruent

but this is just what I think