Olivia is cutting a 1 / dfrac12 / text{ m}1 2 1 m1, start fraction, 1, divided by, 2, end fraction, start text, space, m, end text by / dfrac34/text{ m} 4 3 mstart fraction, 3, divided by, 4, end fraction, start text, space, m, end text piece of rectangular paper into two pieces along its diagonal. Find the area of each of the pieces.

Answer: 9/6 metre

Step-by-step explanation:

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

This will result into two congruent triangular pieces.

Let us first find the area of each piece by finding the area of the original rectangle and dividing it by two.

The area of a rectangle is given by multiplying the length and the width:

1 1/2 * 3/4

We can change the first fraction to an improper fraction:

(1*2) + 1 = 2+1 = 3; this gives us 3/2:

3/2 * 3/4 = 9/8 = 1 1/8

The area of the entire rectangle is 1 1/8 sq. m., or 1.125 sq. m.

Divide this by 2:

9/8 : 2

9/8 * 1/2 = 9/16

The area of each rectangle is 9/16 sq. m., or 0.5625 sq.