Answered

Join IDNLearn.com today and start getting the answers you've been searching for. Find reliable solutions to your questions quickly and accurately with help from our dedicated community of experts.

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 :

Crisforpidn
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 ).
We appreciate your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. IDNLearn.com is dedicated to providing accurate answers. Thank you for visiting, and see you next time for more solutions.