Question

What is the area of the regular pentagon with 5 inch sides and apothem that measures 4.2 inches?

52.5 in2
21 in2
105in2
10.5 in2

Answer 1

Answer:

its 52.5. I just did it on edge

Step-by-step explanation:

Answer 2

The area of the regular polygon is 52.5 in².

What is area?

Area is the region bounded by a plane shape.

To calculate the area of the regular pentagon, we use the formula below.

Formula:

• A = anL/2............ Equation 1

Where:

• A = Area of the regular polygon
• a = Length of apothem of the polygon
• n = Number of sides of each polygon
• L = Length of sides of each polygon

From the question,

Given:

• a = 4.2 inches
• L = 5 inches
• n = 5 (pentagon)

Substitute these values into equation 1

• A = 5×4.2×5/2
• A = 52.5 in²

Hence, the area of the regular polygon is 52.5 in².

Learn more about area of regular polygon here: https://brainly.com/question/8409681