Question

What are two equivalent expressions for the area of the triangle with a base of 3² units and a height of 2³ units using exponents?

A) 6² square units, 3⁵ square units
B) 9 square units, 8 square units
C) 18 square units, 64 square units
D) 6 square units, 24 square units

Answer 1

The area of the triangle with a base of 3² units and a height of 2³ units using exponents is 36 square units.

Step-by-step explanation:

The formula for the area of a triangle is 1/2 × base × height. Given that the base of the triangle is 3² units and the height is 2³ units, we can substitute these values into the formula to calculate the area.

First, let's evaluate 3² and 2³:

1. 3² = 3 × 3 = 9 square units
2. 2³ = 2 × 2 × 2 = 8 square units

Now, substitute these values into the formula:

Area = 1/2 × 9 square units × 8 square units

Area = 1/2 × 72 square units

Area = 36 square units