Miki has a sheet of paper with a length of 104 centimeters and a width of 88 centimeters. She wants to divide it into the largest squares possible without wasting any paper. How many squares of the largest size will she be able to cut from the paper?<br />

Respuesta :

It is given :Miki has a sheet of paper with a length of 104 centimeters and a width of 88 centimeters.

Are of  the sheet of paper Miki has = 104x88= 9152 square cms.

The question is asking us to find o find the number of the largest square that we can cut from the given sheet of paper.

The prime factors of 9152 are:

9152 = 2 × 2 × 2 × 2 × 2 × 2 × 11 × 13

Factors of 9152 that is also a square number are:

2 × 2 × 2 × 2 = 16

2 × 2 × 2 × 2 × 2 × In 16 and 64 the bigger square number is 64.

64 is a square number.

8x8=64

The largest square will be of 8cm sides.

The number of squares of the largest size = 9152 ÷ 64 = 143

She will be able to cut 143 squares  each of length 8cm from the given sheet.