Question

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

Answer 1

Answer:  The area of each of the pieces is $\dfrac{5}{4}~\textup{m}2.$

Step-by-step explanation:  Given that Jordan is cutting a rectangular piece of dimensions $2~\textup{meter by }1\dfrac{1}{4}~\textup{meter}$ into two pieces along its diagonals.

We are to find the area of each of the two pieces.

The area of a rectangle is given by the product of its length and breadth.

For the given rectangular paper,

length, l = 2 meters,

breadth, b $=1\dfrac{1}{4}=\dfrac{5}{4}~\textp{meters}.$

Therefore, area of the paper will be

$A_p=l\times b=2\times \dfrac{5}{4}=\dfrac{5}{2}~\textup{m}^2.$

Since a diagonal of a rectangle divides it into two equal parts, so the area of each of the pieces of the paper is given by

$\dfrac{\frac{5}{2}}{2}=\dfrac{5}{4}~\textup{m}^2.$

Thus, the area of each of the pieces is $\dfrac{5}{4}~\textup{m}2.$

Answer 2

Each piece will have an area which is 1/2 of the area of the rectangle. The diagonal cuts the rectangle in half.

= 1/2 ( 2 * 1/1/4)

= 1 1/4 m^2