Question

Lu is making a quilt that is 20 squares wide and has 15 rows. The border of the quilt is made by using each toy design equally as often. There are a total of 6 toy designs. Each square can hold one design. How many of each design does she use for the border?

Answer 1

Out of 6 designs 4 designs will have 12 repetitions and 2 designs will have 11 repetitions.

Or

On the average each design will be repeated 11.67 times.

Explanation:

HEre the width = 20 and length = 15

The perimeter = 2(l+b)

= 2( 20+ 15) = 70

The border of the quilt has 70 squares. Each square can have 1 design and there are 6 designs

Number of repetitions for each design = 70/6= 11. 67

6 designs can have 11 repetitions for 66 boxes= 6 *11= 66

4 squares will be left out. 70-66= 4

4 design can have additional repetition.

Meaning out of 6 designs 4 designs will have 12 repetitions and 2 designs will have 11 repetitions.

Or

On the average each design will be repeated 11.67 times.