An equilateral triangle of size 14 cm has been cut off from a rectangle. The perimeter of the resulting figure is() less than that of the original rectangle. the length of the rectangle is 42. The width of the rectangle is 74.

1 answer

Let's first calculate the perimeter of the original rectangle:

Perimeter = 2(length + width)
Perimeter = 2(42 + 74)
Perimeter = 2(116)
Perimeter = 232 cm

Now, let's calculate the perimeter of the resulting figure:

The equilateral triangle has a side length of 14 cm, so its perimeter is 3 * 14 = 42 cm.
The perimeter of the resulting figure is the perimeter of the rectangle minus the perimeter of the equilateral triangle:

Resulting perimeter = 232 - 42 = 190 cm

Therefore, the perimeter of the resulting figure is 190 cm less than that of the original rectangle.