Question

A student said “we can’t find the area of the shaded region because the shape has many different measurements, instead of just a length a width that we can multiple. Explain why the student’s statement about area is incorrect.

Answer 1

The student's statement about area is incorrect because by joining suitable lines, we can divide the region into 3 rectangles and we can find its area.

Please check the attached figure.

From the figure, we can easily observe that the area of the shaded region = Area of the rectangle A + Area of the rectangle B - Area of the rectangle C.

Explanation:

Answer 2

The student's statement about area is incorrect because by joining suitable lines, we can divide the region into 3 rectangles and we can find its area.

Please check the attached figure.

From the figure, we can easily observe that the area of the shaded region = Area of the rectangle A + Area of the rectangle B - Area of the rectangle C.