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 ABCD and KLMN KLMN , as described in the following scheme:

Given the rectangles

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 AB=7

BC=5 BC=5

P=24 P=24

A=35 A=35

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


In the second rectangle we see the following: 

KL=8 KL=8

LM=4 LM=4

P=24 P=24

A=32 A=32

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

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

Therefore, they are not congruent.


Suggested Topics to Practice in Advance

  1. Area
  2. Perimeter

Practice Congruent rectangles

Exercise #1

Are the rectangles congruent?

A=20A=20A=20A=24A=24A=24

Video Solution

Answer

No

Exercise #2

Are the rectangles congruent?

222333444333

Video Solution

Answer

No

Exercise #3

Are the rectangles congruent?

444888888444

Video Solution

Answer

Yes

Exercise #4

Are the rectangles congruent?

222555444AAABBBDDDCCCEEEGGG

Video Solution

Answer

No

Exercise #5

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

Video Solution

Answer

The same.

Exercise #1

Find all the congruent rectangles

5552.52.52.52.52.52.52.52.52.52.52.52.5555AAABBBCCCDDDEEEFFFGGGHHHIIIJJJ33

Video Solution

Answer

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