Question

Please help quickly! :)

Marcus loves baseball and wants to create a home plate for his house. Marcus needs to calculate the area of the home plate at the ball field so he can reconstruct it when he gets home. Calculate the area of the polygon.

Pentagon with square measuring 7 inches by 4 inches and two triangles with heights of 6 inches and 5 inches.

A 50 in2
B 59 in2
C 85 in2
D 90 in2

Answer 1

B) 59 in²

Explanation:

From inspection of the diagram, we can see that the polygon is made up of one rectangle and two triangles.

Area of a rectangle = width × length

Given:

• width = 4 in
• length = 7 in

⇒ area = 4 × 7 = 28 in²

Area of a triangle = 1/2 × base × height

Given:

• base = 7 in
• height = 6 in

⇒ area = 1/2 × 7 × 6 = 21 in²

Area of a triangle = 1/2 × base × height

Given:

• base = 4 in
• height = 5 in

⇒ area = 1/2 × 4 × 5 = 10 in²

Total area = 28 + 21 + 10 = 59 in²