Calculate the area of the polygons in the picture. All measurements are in cm.

Why is there a b) in the middle of the polygon?  Question creators, proofread your figures.

a) Two triangles and a kite

Top triangle (1/2)(5.53)(1.5)

Bottom triangle (1/2)(6)(2)

The kite is like two triangles with shared base 2+3=5 and combined height 7,

(1/2)(5)(7)

Adding it up,

area = (1/2)(5.53)(1.5) +  (1/2)(6)(2) + (1/2)(5)(7) = 27.6475

27.6475  sq cm

b) Three triangles, including one right triangle

Area = (1/2) (6.7)(3) + (1/2)(6.2)(2.5) + 1/2(6.2)(2) = 24.

24 sq cm

34.5744 ≈ 35

Step-by-step explanation:

The formula for Margin of Error

= z × σ/√n

Where

z = z score of the confidence interval = z score of 95% = 1.96

σ = 15 pounds

n = number of samples = ??

Margin of Error = 5

Hence,

5 = 1.96 × 15/√n

Cross Multiply

5 × √n = 1.96 × 15

Divide both sides 5

√n = 1.96 × 15/5

√n = 1.96 × 3

√ n = 5.88

Square both sides

n = 5.88²

n= 34.5744

Approximately the size = 35