math10-3

Question

Answer 1

(5)

Step 1:

Composite figure: A figure (or shape) that can be divided into more than one of the basic figures is said to be a composite figure.

Draw a composite figure using three basic figures.

One of the figure is circle.

Let us assume all the dimensions are in centimeters.

Note: The area of the composite region is the area of the shaded region.

Observe the figure:

The composite figure consist of one circle, a rectangle and a right angled triangle.

Area of the composite figure is sum of area of rectangle and triangle excluding area of the circle.

Let and be the areas of rectangle, triangle and circle respectively.

Area of the composite figure is .

Step 2:

Find the area of the rectangle with breadth 5 cm and length 7 cm.

Area of the rectangle is .

Find the area of the triangle with base 3 cm and height 5 cm.

Area of the triangle is .

Find the area of the circle with radius 1 cm.

Area of the triangle is .

Area of the composite figure is .

Area of the composite figure is 39.36 cm².

Solution:

Composite figure is

Area of the composite figure is 39.36 cm².