Question

12. Kate wishes to cut some squares from a vanguard
sheet with a length of 64 cm and a breadth of
48 cm. She likes the squares to be as big as possible
and she does not want any leftover vanguard sheet.
( What is the length of each square?
(ii) How many squares can she cut altogether?
​

Answer 1

Step-by-step explanation:

Consider the provided information.

The length of vanguard sheet is 64 cm and breadth of sheet is 48 cm.

First find the HCF of 64 and 48.

64 = 2×2×2×2×2×2

48= 2×2×2×2×3

The HCF is 2×2×2×2 = 16.

Hence, the side of the largest square should be 16 × 16.

The area of the sheet is: 64×48 = 3072 cm²

The area of square is: 16 × 16= 256 cm²

Thus the number of squares: 

$\frac{3075}{256} = 12$

Hence, the number of squares = 12