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.

Question

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.

Answer 1

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.