Adding and Subtracting Rational Expressions

The video tutorial explains how to calculate the area of shaded regions in various geometric figures. It covers examples involving squares, circles, rectangles, triangles, semicircles, trapezoids, and kites. The process involves finding the area of the larger figure and subtracting the area of the smaller, non-shaded figure. Each example is broken down step-by-step, demonstrating the use of basic geometry formulas and calculations.

What is the area of a square if one side is 25 ft?

• 250 sq ft

• 125 sq ft

• 500 sq ft

• 625 sq ft

How do you calculate the area of a circle with a diameter of 25 ft?

• Pi * 12.5^2

• Pi * 25^2

• 25 * Pi

• 12.5 * Pi

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

• 425 sq ft

• 400 sq ft

• 375 sq ft

• 350 sq ft

How is the area of a triangle calculated with a base of 25 ft and height of 11 ft?

• 175 sq ft

• 150 sq ft

• 165 sq ft

• 137.5 sq ft

What is the radius of a circle if the diameter is 23.4 ft?

• 11.7 ft

• 12.5 ft

• 12 ft

• 11.5 ft

How do you find the area of a semicircle with a radius of 7.5 ft?

• Pi * 7.5^2

• 15 * Pi

• 1/2 * Pi * 7.5^2

• 7.5 * Pi

What is the area of a kite with diagonals 24 ft and 44 ft?

• 600 sq ft

• 550 sq ft

• 500 sq ft

• 528 sq ft

How do you calculate the shaded area of a figure with an outer rectangle and an inner kite?

• Area of rectangle + Area of kite

• Area of rectangle - Area of kite

• 2 * (Area of rectangle - Area of kite)

• Area of kite - Area of rectangle

What is the correct formula to find the area of a trapezoid?

• Base1 + Base2 + Height

• (Base1 + Base2) * Height

• (Base1 + Base2) / 2 * Height

• Base1 * Base2 * Height

If the height of a trapezoid is 15 ft and the bases are 37 ft and 17 ft, what is the area?

• 420 sq ft

• 405 sq ft

• 370 sq ft

• 350 sq ft