Area and Perimeter of Shapes

In this lesson, Mr. Hul explores problems related to area and circumference, focusing on drawing and calculating the areas of squares and circles. The lesson includes exercises on finding half and quarter areas, using algebraic expressions for semicircles and quarter circles, and solving practical problems like designing placemats. The video also covers various circle-related problems, emphasizing the importance of understanding geometric concepts and calculations.

What is the area of a square with a side length of 12 cm?

• 144 cm²

• 120 cm²

• 132 cm²

• 150 cm²

If the diameter of a circle is 12 cm, what is its radius?

• 9 cm

• 3 cm

• 12 cm

• 6 cm

How do you find half the area of a square?

• Multiply the area by 2

• Divide the area by 2

• Multiply the side length by 2

• Divide the side length by 2

What is the ratio of the new area to the original area when a square is halved?

• 3:1

• 2:1

• 1:1

• 1:2

What is the area of a quarter of a square with an area of 144 cm²?

• 36 cm²

• 72 cm²

• 48 cm²

• 54 cm²

How is the area of a semicircle expressed algebraically?

• 2πr

• πr²

• πd

• 1/2 πr²

What is the area of a semicircle with a diameter of 14 cm using π ≈ 22/7?

• 88 cm²

• 44 cm²

• 154 cm²

• 77 cm²

If a rectangle has a length of 12 inches and a width of 8 inches, what is its area?

• 96 in²

• 100 in²

• 104 in²

• 88 in²

How do you calculate the perimeter of a rectangle?

• 2L × W

• L × W

• L + W

• 2L + 2W

What is the area of a rectangle with dimensions 16 ft by 14 ft?

• 224 ft²

• 210 ft²

• 196 ft²

• 240 ft²