Please help with geometry homework!

Question

Question 1: A point is chosen randomly on line AD. Identify the probability that the point is on line BD.

A.) 5/8

B.) 3/8

C.) 7/16

D.) 13/16

Question 2: Identify the area of the trapezoid.

Here are the options:

A.) 60 cm2

B.) 84 cm2

C.) 72 cm2

D.) 144 cm2

Question 3: The base length of a parallelogram is multiplied by 5. Which of the following describes the effect of this change on the area? 

Here are the options:

A.) The area is multiplied by 2.5.

B.) The area is doubled.

C.) The area is multiplied by 5.

D.) The area is multiplied by 25.

Question 4: Find the area of the parallelogram.

A.) A = 25 cm²

B.) A = 208 cm²

C.) A = 192 cm²

D.) A = 273 cm²

Please give explanations and answers.

Answer 1

The number of points of any and all segments are unlimited. That is to say the number of points in AB equals the number of points in BC, CD, BD, and AD. They all have an unlimited number of points. This problem is poorly written.

Answer 2

1)Range from A to D = 3+6+7=16

Range from B to D =6+7 =13

so Probability of point on BD = 13/16

2) Area of trapezoid = 1/2 (base1 +base2 )* height

= 1/2 (12+6)*8

=72 cm^2

3) Area of parallelogram = base * height

so if length is multiplied by 5, means Area must multiplied by 5

4)Area pf parallelogram = base * height

here we can find height using Pythagoras theorem

h = √1 3² - 5² =√169-25 = √144 =12

so

Area of parallelogram =16 *12 = 192 cm^2