Exploring Area of Composite Figures

The video tutorial explains how to calculate the area of shaded regions by subtracting the area of non-shaded parts from the total area. It covers examples involving different shapes such as squares, circles, rectangles, triangles, hemispheres, and trapezoids. The tutorial also demonstrates the use of the Pythagorean theorem to find missing dimensions necessary for area calculations.

What is the first step in finding the area of a shaded region?

• Add the areas of all shapes involved.

• Subtract the area of the unshaded part from the total area.

• Calculate the perimeter of the shaded region.

• Identify the colors used in the shaded region.

If a square has a side of 25 feet, what is its area?

• 625 square feet

• 250 square feet

• 50 square feet

• 125 square feet

How do you find the radius of a circle if the diameter is given as 25 feet?

• Divide the diameter by 2

• Subtract 2 from the diameter

• Multiply the diameter by 2

• Add 2 to the diameter

What is the area of a rectangle with a base of 14 cm and height of 25 cm?

• 325 square cm

• 400 square cm

• 375 square cm

• 350 square cm

How is the area of a triangle calculated if the base is 25 cm and height is 11 cm?

• 136 square cm

• 150 square cm

• 137.5 square cm

• 140 square cm

What theorem is used to find the third side of a right triangle?

• Euler's theorem

• Newton's theorem

• Theorem of circles

• Pythagorean theorem

If the diameter of a hemisphere is 23.4 meters, what is the radius?

• 11.7 meters

• 11.5 meters

• 12 meters

• 12.5 meters

What is the area of a trapezoid with bases of 17 and 37 inches, and height of 15 inches?

• 420 square inches

• 400 square inches

• 410 square inches

• 405 square inches

How do you calculate the area of a hemisphere with a radius of 7.5 inches?

• 95 square inches

• 85 square inches

• 88.36 square inches

• 90 square inches

What is the final step in calculating the shaded area when a shape is subtracted from another?

• Multiply the areas of both shapes

• Add the areas of both shapes

• Divide the area of the larger shape by the smaller

• Subtract the area of the subtracted shape from the total area