Question:
Jordan is cutting a 2 meter by [tex]1\frac{1}{4}[/tex] meter piece of rectangular paper into two pieces along its diagonal. what is the area of each of the pieces?
Answer:
Area of each piece of paper is [tex]1 \frac{1}{4} \ m^2[/tex].
Solution:
Length of the paper = 2 m
Width of the paper = [tex]1\frac{1}{4}[/tex] m = [tex]\frac{5}{4}[/tex] m
Area of the rectangle = length × width
[tex]$=2\times \frac{5}{4}[/tex]
[tex]$= \frac{5}{2} \ m^2[/tex]
Diagonal of a rectangle divides it into two equal parts.
Area of each piece = Area of the rectangle ÷ 2
[tex]$=\frac{ \frac{5}{2}}{2}[/tex]
[tex]$=\frac{5}{4} \ m^2[/tex]
[tex]$=1 \frac{1}{4} \ m^2[/tex]
Area of each piece of paper is [tex]1 \frac{1}{4} \ m^2[/tex].
