# Question Video: Finding the Perimeter of a Composite Figure given the Lengths of Some of Its Sides Mathematics

Given that π΅πΆπ·πΈ is a square, find the perimeter of π΄πΆπ·πΈ.

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### Video Transcript

Given that π΅πΆπ·πΈ is a square, find the perimeter of π΄πΆπ·πΈ.

The perimeter of any shape is the distance around the outside. As π΅πΆπ·πΈ is a square, all four sides of the shape will be equal in length. As πΆπ· is equal to eight centimeters, then π·πΈ and π΅πΆ will also be equal to eight centimeters. The length π΅πΈ would also be equal to eight centimeters. However, this is not on the outside of the shape.

The perimeter of shape π΄πΆπ·πΈ will be the sum of the five lengths π΄π΅, π΅πΆ, πΆπ·, π·πΈ, and πΈπ΄. These are equal to 15 centimeters, eight centimeters, eight centimeters, eight centimeters, and 17 centimeters, respectively. Eight plus eight plus eight is equal to 24. We need to add 15, 24, and 17. We can add these in any order. 15 plus 24 is equal to 39. Adding 17 to this gives us 56.

The perimeter of π΄πΆπ·πΈ is 56 centimeters.