Exploring Adding and Subtracting Rational Expressions

The video tutorial covers the calculation of perimeter and area for various composite figures, including triangles, parallelograms, trapezoids, semicircles, and rectangles. Each example demonstrates how to break down complex shapes into simpler components to find their perimeter and area. The tutorial emphasizes understanding congruent sides and using formulas for different geometric shapes.

What is the perimeter of a figure with sides of 5, 2.8, 10.2, 12, and two sides of 7?

• 44 miles

• 36.8 miles

• 42 miles

• 37 miles

How do you calculate the area of a parallelogram?

• Base times height

• Length plus width

• 1/2 times base times height

• Base plus height

What is the total area of a composite figure consisting of a triangle and a trapezoid?

• 230.8 cm squared

• 198 cm squared

• 202.3 cm squared

• 225.3 cm squared

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

• 1/2 times (base1 + base2)

• Height times (base1 + base2)

• 1/2 times height times (base1 + base2)

• Base1 times base2 times height

If a parallelogram and a triangle are inside a figure, what is their combined area?

• 290 yards squared

• 275 yards squared

• 250 yards squared

• 264 yards squared

How do you calculate the area of a rectangle?

• Length times width

• 1/2 times length times width

• Length plus width

• 2 times (length + width)

How do you find the perimeter of a figure that includes a semicircle?

• 2 times pi times radius plus other sides

• Pi times diameter plus other sides

• Pi times radius plus other sides

• 1/2 times pi times diameter plus other sides

What is the area of a figure that includes a semicircle with a radius of 10 and a triangle?

• 157 kilometers squared

• 253 kilometers squared

• 96 kilometers squared

• 265 kilometers squared

For a figure resembling the letter B, what is the total area?

• 124.26 inches squared

• 130 inches squared

• 140 inches squared

• 115 inches squared

What is the perimeter of a figure with two circles of radius 3, and sides of 8 and 12 inches?

• 46.84 inches

• 48 inches

• 42 inches

• 50 inches