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shelly wants to tile a rectangular floor that measures 132 feet by 150 feet using square tiles that are all of the same size, with no overlap and no squares hanging over the edge. what is the measurement of the largest square tiles she can use?

Respuesta :

The measurement of the largest square tiles she can use is 6 feet.

Finding all common factors between two numbers and choosing the biggest one yields the highest common factor (HCF). For instance, the numbers 8 and 12 share the elements 1, 2, and 4. Four is the greatest common factor.

Steps for calculating HCF:

Step 1: Write each integer as the sum of its prime factors in step one.

Step 2: List the shared factors between the two numbers.

Step 3: The HCF is the sum of all the common prime factors ( use the lower power of each common factor)

Given,

Measurement of the rectangular floor:

length = 150 feet

breadth = 132 feet

The measurement of the largest square can be calculated by finding the HCF of 132 and 150.

132 = 2*2*3*11

150 = 2*3*5*5

So, HCF (132, 150) = 2*3 = 6.

Hence, the measurement of the largest square tiles she can use is 6 feet.

To learn more about HCF, visit https://brainly.com/question/17240111

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