# Congruent rectangles - Examples, Exercises and Solutions

Congruent rectangles are those that have the same area and the same perimeter.

Let's look at an exercise as an example:

Given the rectangles $ABCD$ and $KLMN$, as described in the following scheme:

Observe the data that appears in the scheme and determine if they are congruent rectangles.

In the first rectangle we see the following:

$AB=7$

$BC=5$

$P=24$

$A=35$

That is, the perimeter is equal to $24$ and the area, to $35$.

In the second rectangle we see the following:

$KL=8$

$LM=4$

$P=24$

$A=32$

That is, the perimeter is equal to $24$ and the area, to $32$.

Both rectangles have the same perimeter, but their area is different.

Therefore, they are not congruent.

## Practice Congruent rectangles

### Exercise #1

Are the rectangles congruent?

No

### Exercise #2

Are the rectangles congruent?

No

### Exercise #3

Are the rectangles congruent?

Yes

### Exercise #4

Are the rectangles congruent?

No

### Exercise #5

If rectangle A is congruent to rectangle B, the perimeter of both rectangles must be...?

### Video Solution

$ABJI\cong IJGH\\BCFG\cong CDEF\\ABGH\cong BDEG$