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find the area using a = l * w. mr. janaceks class is doing an art proje…

Question

find the area using a = l * w. mr. janaceks class is doing an art project with different - colored squares. how many 1 - inch squares can be cut from an 18 - inch by 24 - inch piece of construction paper?

Explanation:

Step1: Calculate the area of the construction paper

The formula for the area of a rectangle is \(A = l\times w\). Here, \(l = 24\) inches and \(w=18\) inches.

$$A_{paper}=24\times18 = 432$$

square inches.

Step2: Calculate the area of a 1 - inch square

For a square with side length \(s = 1\) inch, the area formula is \(A=s\times s\).

$$A_{square}=1\times1=1$$

square inch.

Step3: Find the number of 1 - inch squares

Divide the area of the construction paper by the area of a 1 - inch square. Let \(n\) be the number of squares. Then \(n=\frac{A_{paper}}{A_{square}}\).

$$n=\frac{432}{1}=432$$

Answer:

432