Get expert insights and community-driven knowledge on IDNLearn.com. Get step-by-step guidance for all your technical questions from our knowledgeable community members.

A rectangular game board measures 126 centimeters by 90 centimeters. The game board is divided into small squares of equal size.a. Find the longest possible length of the side of one of the squares. (Hint: use prime factorization)


Sagot :

The area of your game board is = 126 * 90 = 11340 cm^2;
A small suares has x^2 his area; where x measure his length;

Prime factorization

11340 | 2
 5670 | 2
 2835 | 5
  567  | 3
  189 | 3
    63 | 3
    21 | 3
      7 | 7
      1

11340 = 2^2 * 3^4 * 5 * 7 = 2^2 * ( 3^2 ) ^ 2 * 5 * 7 = 18^2 * 5 * 7

We observ that the possible length of the side is 18( we have 35 small squares ).
Your participation is crucial to us. Keep sharing your knowledge and experiences. Let's create a learning environment that is both enjoyable and beneficial. Find precise solutions at IDNLearn.com. Thank you for trusting us with your queries, and we hope to see you again.