Answered

Get the best answers to your questions with the help of IDNLearn.com's experts. Ask anything and get well-informed, reliable answers 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 :

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 value your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. Thank you for choosing IDNLearn.com for your queries. We’re committed to providing accurate answers, so visit us again soon.