Question

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.

Answer 1

The answer is "
`0.375 \ m^2 \ \ and \ \ 0.1875 \ m^2`".

Explanation:

A rectangular paper on the side is given by Olivia:

`a= (1)/(2) \ m \\\\b= (3)/(4) \ m`

On the diagonal she cuts paper. A paper parts which results would be about half the original field.

Area of origin:

`A= a* b`

`= (1)/(2) * (3)/(4) \\\\= (3)/(8) \ m^2\\\\ = 0.375 \ m^2`

The resulting parts area:

`A_2 =(A)/(2) = ((3)/(8))/(2)`

`=(3)/(16) \ m^2 \\\\= 0.1875 \ m^2`