How many square shaped pieces of paper of the biggest size can be made out of 120 cm in length - Maths - Playing with Numbers

Question

How many square shaped pieces of paper of the biggest size can be
made out of 120 cm in length and 96 cm in breadth without wastage
of any paper

Pratiksha · Accepted Answer

Length of the rectangular paper = 120 cm
Breadth of the rectangular paper = 96 cm
Side of each square piece = HCF of 120 and 96
120 = 2 * 2 * 2 * 3 * 5 *
96 = 2 * 2 * 2 * 2 * 2 * 3 *
HCF (120,96) = 2 * 2 * 2 * 3 = 24
Therefore side of each square piece = 24 cm
No of square pieces that can be cut
= Area of the rectangular paper / Area of each square piece
120 * 96 / 24 * 24
= 5 * 4
= 20

How many square shaped pieces of paper of the biggest size can be made out of 120 cm in length and 96 cm in breadth without wastage of any paper