Question

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

Answer 1

Answer:

9/16 m, or 0.5625 m.

Step-by-step explanation:

Cutting a rectangle into two pieces along its diagonal results in two congruent triangular pieces.  

Using this information, we can find the area of each piece by finding the area of the original rectangle and dividing 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

We can write 2 as 2/1:

9/8 ÷ 2/1

To divide fractions, flip the second one and multiply:

9/8 × 1/2 = 9/16

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