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

9/16

Explanation:

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Answer 2

`(9)/(16)\ m^2`

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(1)/(2)=1+(1)/(2)=(3)/(2)`

The area of the rectangle is:

`\displaystyle A=(3)/(2)*(3)/(4)`

`\displaystyle A=(9)/(8)\ m^2`

The area of each of the pieces is

`\displaystyle (1)/(2)\cdot(9)/(8)\ m^2=`
`\mathbf{(9)/(16)\ m^2}`