3.5 - Working with Formulas

Front

What is the formula for the area of a triangle?

Back

The area of a triangle is given by the formula: \( \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \)

Front

Calculate the area of a triangle with a base of 10 cm and a height of 5 cm.

Back

Area = \( \frac{1}{2} \times 10 \times 5 = 25 \text{ cm}^2 \)

Front

What is the formula for the area of a rectangle?

Back

The area of a rectangle is given by the formula: \( \text{Area} = \text{length} \times \text{width} \)

Front

Calculate the area of a rectangle with a length of 9 m and a width of 7 m.

Back

Area = \( 9 \times 7 = 63 \text{ m}^2 \)

Front

What is the formula for the circumference of a circle?

Back

The circumference of a circle is given by the formula: \( C = 2\pi r \) where \( r \) is the radius.

Front

If the circumference of a circle is \( 80\pi \) feet, what is the radius?

Back

Radius = \( \frac{C}{2\pi} = \frac{80\pi}{2\pi} = 40 \text{ feet} \)

Front

What is the formula for calculating speed?

Back

Speed is calculated using the formula: \( \text{Speed} = \frac{\text{Distance}}{\text{Time}} \)

Front

If a car travels 325 miles in 5 hours, what is its speed?

Back

Speed = \( \frac{325}{5} = 65 \text{ miles per hour} \)

Front

What is the formula for the perimeter of a rectangle?

Back

The perimeter of a rectangle is given by the formula: \( P = 2 \times (\text{length} + \text{width}) \)

Front

If the perimeter of a rectangle is 16 feet and the length is 5 feet, what is the width?

Back

Width = \( \frac{P}{2} - \text{length} = \frac{16}{2} - 5 = 3 \text{ feet} \)