Area of Composite Shapes and Shaded Regions

Imagine Aria, Rohan, and Anika are on a treasure hunt. They stumble upon an ancient map with a figure drawn on it. The map holds the key to the next clue, but to proceed, they need to calculate the area of the figure. Can you help them figure it out?

Answer explanation

The correct answer is 275 cm^2 because the figure is a rectangle with dimensions 25 cm by 11 cm, so the area is 25 * 11 = 275 cm^2.

Hey there! Mason, Benjamin, and Evelyn are on a treasure hunt in a magical land. They stumble upon a mysterious map that shows a shaded region. Can you help them figure out the area of this shaded region to find the treasure?

• 4

• 7.14

• 16.56

• 0.86

Answer explanation

The area of the shaded region is calculated by subtracting the area of the smaller circle from the area of the larger circle. Therefore, the correct answer is 0.86.

Charlotte, Aria, and Nora are playing in the park when they come across a curious puzzle on the ground. It's a beautifully designed garden with a mix of shaded and unshaded regions. They wonder, 'What is the area of the unshaded region?' (a)  

Answer explanation

The area of the unshaded region is equal to the area of the larger square minus the area of the smaller square, which is 16 ft^2.

Find the area.

HINT: You will need to imagine two separate rectangles.

Area of rectangle = b (h)

Mathematical Equivalence

ON

• 54 cm2
• 45 cm2
• 63 cm2
• 36 cm2

What is the area of this shape?

• 45 square units

• 46 square units

• 36 square units

• 9 square units

What is the area of the composite figure?

• 144 m²

• 111 m²

• 45 m²

• 70 m²

What is the area of the green area?

• 195 meters²

• 195 meters

• 30 meters

• 225 meters²

Find the area.

• 28 square cm

• 36 square cm

• 40 square cm

• 36 square feet