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?

Step-by-step explanation: Given that Jordan is cutting a rectangular piece of dimensions [tex]2~\textup{meter by }1\dfrac{1}{4}~\textup{meter}[/tex] 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 [tex]=1\dfrac{1}{4}=\dfrac{5}{4}~\textp{meters}.[/tex]

Therefore, area of the paper will be

[tex]A_p=l\times b=2\times \dfrac{5}{4}=\dfrac{5}{2}~\textup{m}^2.[/tex]

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

[tex]\dfrac{\frac{5}{2}}{2}=\dfrac{5}{4}~\textup{m}^2.[/tex]

Thus, the area of each of the pieces is [tex]\dfrac{5}{4}~\textup{m}2.[/tex]

ajeigbeibraheem ajeigbeibraheem · Answer 2 · 2022-01-31T17:32:48+01:00

The area of a rectangle is [tex]\mathbf{\dfrac{5}{4}}[/tex]

What is the area of a rectangle?

A rectangle is a plane figure that has four sides with two equal opposite sides and four angles. The opposite sides are usually known as the:

Length
Breadth

The length is usually longer than the breadth. The area of the rectangle is given by the formula:

Area = Length × Breadth

From the parameters given:

Area of the rectangle [tex]\mathbf{=2 \times \dfrac{5}{4}}[/tex]

Area of the rectangle [tex]\mathbf{=\dfrac{5}{2}}[/tex]

Since, a diagonal cut the two pieces along its diagonal, then the area is divided by 2.

The Area of each piece becomes:

[tex]\mathbf{=\dfrac{5}{2} \div \dfrac{1}{2}}[/tex]

[tex]\mathbf{=\dfrac{5}{2} \times \dfrac{2}{1}}[/tex]

[tex]\mathbf{=\dfrac{5}{4}}[/tex]

Learn more about how to calculate the area of a rectangle here:

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