A teacher asks students to place tiles on the classroom wall to show the alphabet. The tiles will each have one letter or be blank. Each letter will have only one tile. The list shows the teachers rules for the arrangement of tiles.

• How many columns of tiles will there be?

• How many blank tiles will be used?

• What multiplication fact helped you solve the problem?

1. They must form a rectangle.
2. The rectangle must have 4 rows.
3. The rectangle must have the least possible number of columns.

Question

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ogorwyne ogorwyne · Answer 1 · 2022-09-17T19:14:26+02:00

The least possible number of columns is 7

2 blank tiles is will be used

Yes using multiplication facts the question can be solved.

Given data

Alphabet arrangement on tiles

The rules for arrangement of the alphabets

1. They must form a rectangle.

2. The rectangle must have 4 rows.

3. The rectangle must have the least possible number of columns.

number of alphabets = 26

let the row represent the width of the rectangle, so that the rectangle has 4 rows.

The length will be

length * width = 26

length = 26 / width

length = 26 / 4

length = 6.5 ≅ 7

Hence the least possible number of columns is 7

26 / 4 gives 6 remainder 2 hence it requires 2 more tiles to make it up a rectangle of 7 columns.

The remaining part is filled with blank tiles therefore 2 blank tiles is used

Using multiplication we solve the problem as thus:

let the number of column be x such that

4 * x = 26

x = 26 / 4

so we use blank tiles to make the equation divisible by 4 without remainder.

using mental math: 28 / 4 = 7

therefore 2 blank tiles were added and the minimum number if rows is 7

Yes using multiplication facts the question can be solved.

Read more on areas of rectangles here: https://brainly.com/question/2607596

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