Question

WILL GIVE BRAINLIEST... 30 PTS!!
Plzzz answer this question based on LCM and HCF.......

Jazmin is completing an art project. She has two pieces of construction paper. The first piece is 44 inches wide and the second piece is 33 inches wide. Jazmin wants to cut the paper into strips that are equal in width and are as wide as possible. How wide should Jazmin cut each strip??

Plz. show working... mention whether it is HCF or LCM and no guesses.....

Answer 1

As the strips have to be "as wide as possible", we'll have to find out the maximum possible width for both these papers. Hence, we have to find the HCF of 33 and 44.

Now 33 = 3 x 11 and 44 = 4 x 11. So, 11 is the HCF.

So, Jazmin can cut the papers in 11 inch wide strips.

Answer 2

$\textbf {Hey there, here is the solution.}$

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Find the Prime Factors of 33 and 44:

33 = 3 x 11

44 = 4 x 11

.

Find the Highest Common Factor (HCF):

We find the HFC because are going to divide the 2 pieces of papers up so that each strip is of equal length.

HCF = 11

.

Find the number of pieces to cut:

First piece of length 44 = 44 ÷ 11 = 4

Second piece of length 33 = 33 ÷ 11 = 3

We cut the first piece into 4 pieces and the second piece into 3 pieces .

4 + 3 = 7

So we will have 7 pieces of 11cm each.

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⭐$\textbf {Cheers }$⭐