Exploring 2D Area and Basic Shapes

What is the formula for the area of a rectangle?

• 1/2 x Base x Height

• Length + Width

• Base x Height

• Pi x Radius squared

Which formula is used to calculate the area of a circle?

• Base x Height

• 1/2 x Base x Height

• Pi x Radius squared

• Length x Width

What must be true about the sides used in the formula for the area of a parallelogram?

• They must form a right angle.

• They must be parallel.

• They must be slanted.

• They can be any two sides.

How do you find the height in a triangle if an angle and one side length are given?

• Multiplying the side by the sine of the angle

• Using the Pythagorean theorem

• Using trigonometric ratios

• Adding the side lengths

What is the area formula for a trapezoid?

• Length x Width

• Base1 x Base2 x Height

• 1/2 x (Base1 + Base2) x Height

• Pi x Radius squared

In solving for the area of a triangle, what is the correct placement of the 1/2 in the formula?

• It is not necessary

• Before adding the base and height

• After multiplying the base and height

• Before multiplying the base and height

How do you solve for the radius of a circle if the area is given?

• Subtract Pi from the area

• Add Pi to the area

• Divide the area by Pi and take the square root

• Multiply the area by Pi

What is the first step in finding missing dimensions given the area?

• Divide the area by the given dimension

• Guess the missing dimensions

• Calculate the perimeter

• Identify the shape and use the appropriate formula

When solving algebraically for a missing dimension in a trapezoid, what operation do you perform first?

• Subtraction

• Division

• Multiplication

• Addition

What method is used to find a missing side in a right triangle when two sides are known?

• Geometric proof

• Algebraic manipulation

• Pythagorean theorem

• Trigonometric ratios