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.

Respuesta :

Answer:

The answer is "[tex]0.375 \ m^2 \ \ and \ \ 0.1875 \ m^2[/tex]".

Step-by-step explanation:

A rectangular paper on the side is given by Olivia:  

[tex]a= \frac{1}{2} \ m \\\\b= \frac{3}{4} \ m[/tex]

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

Area of origin:

[tex]A= a\times b[/tex]

   [tex]= \frac{1}{2} \times \frac{3}{4} \\\\= \frac{3}{8} \ m^2\\\\ = 0.375 \ m^2[/tex]

The resulting parts area:  

[tex]A_2 =\frac{A}{2} = \frac{\frac{3}{8}}{2}[/tex]

             [tex]=\frac{3}{16} \ m^2 \\\\= 0.1875 \ m^2[/tex]