Calculating Area and Perimeter of Shapes

This video tutorial covers the calculation of area and perimeter for various geometric shapes, including rectangles, squares, and circles. It begins with basic examples using rectangles and squares, explaining the formulas for area and perimeter. The tutorial then moves on to circles, detailing how to calculate the area and circumference. It includes word problems to apply these concepts and explores more complex problems involving the diagonal of a square and a rectangle with specific conditions. The video concludes with a detailed problem-solving session using algebraic methods.

What is the formula to calculate the area of a rectangle?

• Length x Width

• Length + Width

• Length / Width

• 2(Length + Width)

How do you calculate the perimeter of a rectangle?

• Length x Width

• 2(Length + Width)

• Length + Width

• Length / Width

What is the area of a square with a side length of 7 inches?

• 21 square inches

• 28 square inches

• 14 square inches

• 49 square inches

If the diameter of a circle is 8 cm, what is its radius?

• 8 cm

• 4 cm

• 2 cm

• 16 cm

What is the area of a circle with a radius of 4 cm?

• 16π square cm

• 8π square cm

• 4π square cm

• 12π square cm

How is the circumference of a circle calculated?

• πd

• 2πr

• πr^2

• 2r

If a square's perimeter is 60 cm, what is one side's length?

• 15 cm

• 30 cm

• 10 cm

• 20 cm

How do you find the side length of a square if you know the length of its diagonal?

• Diagonal x 2

• Diagonal / 2

• Diagonal x √2

• Diagonal / √2

If the area of a rectangle is 90 square cm and its width is 6 cm, what is its length?

• 9 cm

• 18 cm

• 12 cm

• 15 cm

What is the perimeter of a rectangle with length 15 cm and width 6 cm?

• 42 cm

• 21 cm

• 30 cm

• 33 cm