In this polygon, all angles are right angles. What is the area of this polygon?

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Step-by-step explanation:

hello,

you can find the area of the polygon by first dividing the diagram into smaller shapes.

in this case, you can divide the polygon into 2 rectangles - see attached.

thus,

a of polygon = a of rectangle A + a of rectangle B

a of polygon = ( l × w of A ) + ( l × w of B)

a of polygon = ( 18 ft × 9 ft ) + ( 8 ft × 12 ft )

a of polygon = 162 ft² + 96 ft²

= 258 ft²

please note that the width of rectangle A is 9 and not 21. it is so as:

width of A = 21 - 12

= 9 ft.

and width of B = 12 ft.

hope this helps you, au revoir!

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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step-by-step explanation:

a. 32 degrees

step-by-step explanation:

here we have to use the rule.

m∠e = 1/2 (major arc - minor arc)

m∠e = 1/2 (212 - 148)

m∠e = 1/2 (64)

m∠e = 32 degrees

answer: a. 32 degrees

you