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.
A)14cm less
B)14cm more
C)28cm less
D)28cm more
D) 28cm more
The perimeter of the original rectangle is P = 2(length + width) = 2(42 + 74) = 232 cm.
After cutting off the equilateral triangle, the perimeter of the resulting figure will be the same as the perimeter of the rectangle minus the perimeter of the triangle.
The perimeter of the equilateral triangle is P_triangle = 3s, where s is the side length of the triangle. Since the triangle side length is 14 cm, P_triangle = 3(14) = 42 cm.
Therefore, the perimeter of the resulting figure is P_resulting = 232 - 42 = 190 cm.
The perimeter of the resulting figure is 190 cm less than the original rectangle, which means the perimeter is 28 cm more.