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41 votes
41 votes
Zack’s classroom has a carpet that is 2/3 of the classroom long and 3/4 of the classroom wide. How much of the classroom area does the carpet take up?

User Dharvik Shah
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2 Answers

30 votes
30 votes

Answer:

1/2 or half of the classroom area

Explanation:

Step 1: Calculating area of carpet

Let total length be l and width be w.

Now, according to the problem,

Area = 2l/3 x 3w/4

= 2lw/4

Step 2: Take area of carpet and area of classroom as a ratio

(2lw/4) / lw

= 2/4

= 1/2

Therefore, the carpet takes up 1/2 or half of the classroom area.

User Mdurant
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2.9k points
18 votes
18 votes

*Note that:


\boxed{ \sf \: area \: of \: rectangle = length * breadth}

Now,

  • Length = 2/3 (Given)
  • Width = 3/4 (Given)

Solve ;


\tt \implies \: area = (2)/(3) * (3)/(4)


\tt \implies \: area = (2 * 3)/(3 * 4)


\tt \implies \: area = (6)/(12) = (1)/(2)

Thus, The carpet takes up 1/2 unit² area of the classroom...~

User Mertcan Ekiz
by
2.7k points