Question

A shape is made of 9 right triangles of equal size and three identical rectangles.

Each rectangle measures 7 mm wide by 3 mm high. The rectangles are each
7 mm wide by 3 mm high. What is the total area, in square millimeters,
of the shape?

Answer 1

The area of the figure is 157.5 square millimeters.

Explanation:

Since a shape is made of 9 right triangles of equal size and three identical rectangles, and each rectangle measures 7 mm wide by 3 mm high, while the rectangles are each 7 mm wide by 3 mm high, to determine what is the total area, in square millimeters, of the shape, the following calculations must be performed:

Area of a rectangle: base x height

Area of a triangle: (base x height) / 2

7x3 = 21 = Rectangle area

7x3 / 2 = 10.5 = Triangle area

21 x 3 + 10.5 x 9 = 157.5

Thus, the area of the figure is 157.5 square millimeters.