Question

Marissa was decorating her room .she arranged 63 same size picture tiles on a wall in the shape of a rectangle.which are possible arrangements of the picture tiles ?

Answer 1

21 by 3 because 63÷3=21

Answer 2

The number of the row could be: 1,3,7,9,21,63

Explanation:

There are 63 same size picture tiles

The area of a rectangle is A = l*w, where:

• l is the length
• w is the width

Assume the area of each picture is 1 square unit, so the total are of the wall filled with 63 picture is 63

So to possible arrangements of the picture tiles are factors of 63, we have:

• 63 = 7 × 9
• 63 = 3 × 21
• 63 = 63 × 1

The number of the row could be: 1,3,7,9,21,63