Given:
Length of a rectangular piece of fabric, l = 24 inches
Width, w = 40 inches
Leanna folds the piece of fabric along its diagonal to form a triangular scarf.
To find:
The area of the triangular scarf.
Solution:
Area of the rectangular piece of fabric is
[tex]Area=length\times width[/tex]
[tex]Area=24\times 40[/tex]
[tex]Area=960[/tex]
Area of rectangular piece of fabric is 96 sq. inches.
We know that diagonal of a rectangle divides the rectangle in two equal parts.
Leanna folds the piece of fabric along its diagonal to form a triangular scarf. So, area of triangular scarf is half of area of rectangular piece of fabric.
[tex]\text{Area of triangular scarf}=\dfrac{1}{2}\times 960[/tex]
[tex]\text{Area of triangular scarf}=480[/tex]
Therefore, the area of triangular scarf is 480 sq. inches.
