# Thread: perimeter of the larger square

1. ## perimeter of the larger square

Need help in the below question.thanks

Two squares of sides 4 cm and 3 cm are cut into five pieces which are then rearranged into a larger square. What is the perimeter of the larger square?

2. ## Re: perimeter of the larger square

Originally Posted by kingman
Need help in the below question.thanks

Two squares of sides 4 cm and 3 cm are cut into five pieces which are then rearranged into a larger square. What is the perimeter of the larger square?
Even without knowing what the final arrangement will look like, we know that the new square must have the same area as the two original squares. That is, the area of the large square will be $4\cdot4 + 3\cdot3 = 25.$ If a square has an area of 25, then what must be the length of each side? Multiply that length by four to get the perimeter.