Question

Corey drew a sketch of a paper hat as shown below.

If a = 4 in and b = 3 in, what is the area of the sketch?

A.84 in squared
B.60 in squared
C.30.5 in squared
D.40 in squared

Answer 1

Do the rectangle first.
Area = L * W
L = 4b
W = b
Area = 4b * b
Area = 4 *3 * 3
Area = 36 square inches.

Do the trapezoid next
b1 = a
b2 = 2a
h = a
Formula
Area = (b1 + b2) * h / 2
Area = (a + 2a) * a / 2
Area = (3a) * a / 2
a = 4
Area = (3*4) * 4 / 2
Area = 12 * 4/2
Area = 48 /2
Area = 24

Total Area
Area = 24 + 36
Area = 60 in^2

B <<<< answer

Answer 2

4(3) = 12 x 3 = 36

2(4) = 8 +4 = 12/2 = 6*4 = 24

36 +24 = 60

Answer is B