Area Composite and Shaded Regions 3/14

Front

What is the formula for the area of a parallelogram?

Back

The area of a parallelogram is given by the formula: Area = base × height.

Front

If a parallelogram has an area of 168 cm² and a height of 8 cm, how do you find the base?

Back

To find the base, use the formula: base = Area / height. So, base = 168 cm² / 8 cm = 21 cm.

Front

What is the value of pi (π) used in area calculations?

Back

In calculations, pi (π) is often approximated as 3.14.

Front

How do you calculate the area of a circle?

Back

The area of a circle is calculated using the formula: Area = π × radius².

Front

What is the area of a rectangle?

Back

The area of a rectangle is calculated using the formula: Area = length × width.

Front

How do you find the area of a composite figure?

Back

To find the area of a composite figure, break it down into simpler shapes, calculate the area of each shape, and then sum them up.

Front

If a rectangle measures 12 feet by 18 feet, what is its area?

Back

Area = length × width = 12 ft × 18 ft = 216 ft².

Front

How many tiles are needed to cover a floor measuring 12 feet by 18 feet with tiles that are 2 feet by 3 feet?

Back

First, find the area of the floor: 12 ft × 18 ft = 216 ft². Then find the area of one tile: 2 ft × 3 ft = 6 ft². Divide the area of the floor by the area of one tile: 216 ft² / 6 ft² = 36 tiles.

Front

What is the area of a garden with a fountain in the middle, where the fountain has a base of 5 in. and height of 9 in., and the garden has a base of 16 in. and height of 5 in.?

Back

Area of the garden = Area of the outer rectangle - Area of the fountain. Area of the outer rectangle = 16 in. × 5 in. = 80 in². Area of the fountain = 5 in. × 9 in. = 45 in². Therefore, Area of the garden = 80 in² - 45 in² = 35 in².

Front

What is the total area of a figure if the options are 31 ft², 40 ft², 60 ft², and 80 ft², and the correct answer is 60 ft²?

Back

The total area of the figure is 60 ft².