Answer:
The total area of the banner is 802.08 in².
Step-by-step explanation:
Separate the banner into simpler shapes as described in the problem: a square and a semicircle.
Find the area of the simpler figures.
Square
A = s2
A = 24 · 24
A = 576
The area of the square is 576 in2.
Semicircle
A = 1/ 2
πr2
A = 1/ 2
(3.14) (12)2
A = 1/ 2
(3.14) (144)
A = 226.08
The area of the semicircle is 226.08 in2.
Find the area of the banner.
A = 576 + 226.08
A = 802.08
The total area of the banner is 802.08 in².