Composite Area

Front

What is the definition of Composite Area?

Back

Composite Area refers to the total area of a figure that is made up of two or more simple geometric shapes. To find the composite area, you calculate the area of each individual shape and then sum them up.

Front

How do you calculate the area of a rectangle?

Back

Area = length × width.

Front

How do you calculate the area of a triangle?

Back

Area = 1/2 × base × height.

Front

What is the formula for the area of a circle?

Back

Area = π × radius².

Front

If a rectangle has a length of 10 cm and a width of 5 cm, what is its area?

Back

Area = 10 cm × 5 cm = 50 cm².

Front

What is the area of a triangle with a base of 8 cm and a height of 5 cm?

Back

Area = 1/2 × 8 cm × 5 cm = 20 cm².

Front

How do you find the area of a composite figure?

Back

1. Divide the figure into simple shapes (rectangles, triangles, circles). 2. Calculate the area of each shape. 3. Sum the areas to get the total composite area.

Front

What is the area of a circle with a radius of 7 cm?

Back

Area = π × (7 cm)² ≈ 153.94 cm².

Front

If a composite figure consists of a rectangle (10 cm by 4 cm) and a triangle (base 4 cm, height 3 cm), what is the total area?

Back

Area of rectangle = 10 cm × 4 cm = 40 cm²; Area of triangle = 1/2 × 4 cm × 3 cm = 6 cm²; Total area = 40 cm² + 6 cm² = 46 cm².

Front

What is the area of a shaded region if the total area is 350 cm² and the unshaded area is 137.5 cm²?

Back

Shaded area = Total area - Unshaded area = 350 cm² - 137.5 cm² = 212.5 cm².