The area of the expression 1 3/4 X 2 1/2 Using an area model is 4 3/8.
What is the area model?
The area model is a technique of calculating area by parts. As given in the below example,
Length = 27 = 20 + 7
breadth = 63 = 60 + 3
Area = (20 + 7) x (60 + 3)
= 1200 + 60 + 420 +21
= 1701 unit²
Use an area model to solve.
Given to us
[tex]1\dfrac{3}{4} \times 1\dfrac{1}{2}[/tex]
[tex]Area=(1 + \dfrac{3}{4}) \times (2 +\dfrac{1}{2})[/tex]
[tex]=(1 + \dfrac{3}{4}) \times (2 +\dfrac{1}{2})\\\\= (1 \times 2) + (1 \times \dfrac{1}{2}) + (\dfrac{3}{4} \times 2) + (\dfrac{3}{4} \times \dfrac{1}{2})\\\\= 2 + \dfrac{1}{2} + \dfrac{6}{4} + \dfrac{3}{8}\\\\= 2 +\dfrac{4}{8} + \dfrac{12}{8} + \dfrac{3}{8}\\\\= 2+ \dfrac{19}{8}\\= 2 + 2\dfrac{3}{8}\\\\= 4\dfrac{3}{8}[/tex]
Hence, the area of the expression 1 3/4 X 2 1/2 Using an area model is 4 3/8.
Learn more about Area Model:
https://brainly.com/question/19257163
