Question

Olivia is cutting a 1 1/2m by 3/4m piece of rectangular paper into two pieces along its diagonal.

Find the area of each of the pieces
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Answer 1

Answer:

$\frac{9}{16}\ m^2$

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:

$1\frac{1}{2}=1+\frac{1}{2}=\frac{3}{2}$

The area of the rectangle is:

$\displaystyle A=\frac{3}{2}*\frac{3}{4}$

$\displaystyle A=\frac{9}{8}\ m^2$

The area of each of the pieces is

$\displaystyle \frac{1}{2}\cdot\frac{9}{8}\ m^2=$$\mathbf{\frac{9}{16}\ m^2}$

Answer 2

Answer:

9/16

Step-by-step explanation:

I got it right on Khan Academy so you can trust me :) Have a Nice Day!