Question

Which figure best demonstrates the setup for the box method of finding the area of a triangle?



On a coordinate plane, a triangle is shown. A rectangular box is drawn around the triangle and share 2 sides with the triangle.

On a coordinate plane, a triangle is shown. A rectangular box is drawn around the triangle and the 3 points of the triangle touch the sides of the box. The box is 2 units larger than one side of the triangle.

On a coordinate plane, a triangle is shown. A rectangular box is drawn around the triangle and all 3 points of the triangle are on the sides of the box.

On a coordinate plane, a triangle is shown. A rectangular box is drawn around the triangle and 2 points of the triangle are on the box.

Answer 1

The third figure. The box method uses a rectangle that contains the triangle with all three vertices on the rectangle's sides; the triangle's area = rectangle area minus the areas of the corner regions outside the triangle.