Question

Leanna has a rectangular piece of fabric. The fabric is 24 inches wide and 40 inches long. Leanna folds the piece of fabric along its diagonal to form a triangular scarf.

What is the area, in square inches, of the triangular scarf?

Answer 1

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

`Area=length* width`

`Area=24* 40`

`Area=960`

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.

`\text{Area of triangular scarf}=(1)/(2)* 960`

`\text{Area of triangular scarf}=480`

Therefore, the area of triangular scarf is 480 sq. inches.