Answer:
[tex]\frac{9}{16}\ m^2[/tex]
Step-by-step explanation:
Area of a Rectangle
The area of a rectangle of dimensions W by L is given by:
A = WL
If the piece of rectangular paper of W=1 1/2 by L=3/4 is cut along its diagonal, each one of the pieces will have half of the total area of the rectangle.
Convert the width to improper fraction:
[tex]1\frac{1}{2}=1+\frac{1}{2}=\frac{3}{2}[/tex]
The area of the rectangle is:
[tex]\displaystyle A=\frac{3}{2}*\frac{3}{4}[/tex]
[tex]\displaystyle A=\frac{9}{8}\ m^2[/tex]
The area of each of the pieces is
[tex]\displaystyle \frac{1}{2}\cdot\frac{9}{8}\ m^2=[/tex][tex]\mathbf{\frac{9}{16}\ m^2}[/tex]