Question

Find the area of the figure below, formed from a triangle and a rectangle, in square millimeters.

A figure is formed from a right triangle and a rectangle. The rectangle is 20 millimeters long and 6 millimeters wide. The legs that make up the right angle of the triangle are 12 millimeters and 16 millimeters. The hypotenuse is where the triangle and the long side of the rectangle connect.

Answer 1

The rectangle area is 20×6 = 120 mm².
The right triangle area is (1/2)·12·16 = 96 mm² (its hypotenuse is √(12²+16²)=20, so it fits the rectangle side).

Total area = 120 + 96 = 216 mm².