Answer:
B. 335.5 in.²
Explanation:
The pencil decoration can be broken down into a rectangle and a triangle.
The area of the pencil decoration is the sum of the areas of the rectangle and triangle.
The rectangle has length b and width a.
The triangle has base a and height a.
total area = area of rectangle + area of triangle
total area = length × width + base × height / 2
total area = b × a + a × a / 2
From the given information, we see that a = 11 in., and b = 25 in.
total area = b × a + a × a / 2
total area = (25 in.) × (11 in.) + (11 in.) × (11 in.) / 2
total area = 275 in.² + 60.5 in.²
total area = 335.5 in.²