Question

A composite figure of a rectangle and a right triangle. The rectangle has width 8

centimeters and height 4 centimeters. The combined heights of the rectangle and
the triangle is 6 centimeters. The base of the triangle is 3 centimeters.

Answer 1

35 square centimeters

Explanation:

To find the area of the composite figure, we need to add the areas of the rectangle and the triangle.

The rectangle has a width of 8 centimeters and a height of 4 centimeters, so its area is:

Area of rectangle = width x height

= 8 cm x 4 cm

= 32 cm^2

The triangle has a base of 3 centimeters and a height of 2 centimeters (since the combined height of the rectangle and triangle is 6 centimeters, and the height of the rectangle is 4 centimeters, the height of the triangle must be 2 centimeters). The area of a triangle is given by the formula:

Area of triangle = 0.5 x base x height

Substituting the values we have:

Area of triangle = 0.5 x 3 cm x 2 cm

= 3 cm^2

To find the total area of the composite figure, we add the area of the rectangle and the area of the triangle:

Total area = Area of rectangle + Area of triangle

= 32 cm^2 + 3 cm^2

= 35 cm^2