Question

Jordan is cutting a 2 \text{ m}2 m2, start text, space, m, end text by 1\dfrac14\text{ m}1
4
1
​
m1, start fraction, 1, 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 1

Area of Each Piece  = 1/4  m² if  2m   by  1/4 m rectangular paper cut along diagonal

Step-by-step explanation:

Rectangular Paper = 2m   by  1/4 m

Area of  rectangular Paper = 2 * 1/4  = 1/2  m²

Diagonal Divide a rectangle in two Equal area

Area of Each Piece  = (1/2)/2  = 1/4  m²

Area of Each Piece  = 1/4  m²

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Answer 2

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

Step-by-step explanation:

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

To find : The area of each of the two pieces ?

Solution :

Length, l = 2 meters,

Breadth, $b =1\dfrac{1}{4}=\dfrac{5}{4}~\text{m}$

Area of the paper will be

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

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

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

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

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