Pre-Algebra, Student Edition
Pre-Algebra, Student Edition
1st Edition
ISBN: 9780078885150
Author: McGraw-Hill
Publisher: Glencoe/McGraw-Hill
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Chapter CSB1.2, Problem 30E

a.

To determine

The largest square tile that L can use to cover the table such that she doesn’t have to cut any tiles.

a.

Expert Solution
Check Mark

Answer to Problem 30E

6 inches.

Explanation of Solution

Given information:

Length of table = 30 in.

Width of table = 24 in.

Calculation:

The size of largest tile she can use will be equal to GCF of 30 and 24.

Now, prime factors of 30 and 24 are

  30=2×3×524=2×2×2×3

Therefore GCF of 30 and 24 = 2×3=6

Hence size of largest square tile will be 6 inches.

b.

To determine

The number of tiles needed.

b.

Expert Solution
Check Mark

Answer to Problem 30E

20

Explanation of Solution

Given information:

Length of table = 30 in.

Width of table = 24 in.

Calculation:

Number of tiles needed

  =AreaoftableAreaofeachtile

  =24×306×6

  =4×5=20

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