Question

PLEASE HELP ASAP!!!!

Answer 1

Answer: Choice D) 100 square meters

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Step-by-step explanation:

Refer to the diagram below.

Use the distance formula to find the distance from A to B

A = (9,0)

B = (17,6)

`d = \text{distance from A to B}\\\\d = √((x_1-x_2)^2+(y_1-y_2)^2)\\\\d = √((9-17)^2+(0-6)^2)\\\\d = √((-8)^2+(-6)^2)\\\\d = √(64+36)\\\\d = √(100)\\\\d = 10\\\\`

Segment AB is 10 units long.

Repeat the distance formula to find that segment BC is 15 units long.

That makes the area of red rectangle ABCD to be 10*15 = 150 square meters.

Again, using the distance formula, you should find that EF = 5 and FG = 10, so the area of the blue rectangle EFGH is 5*10 = 50 square meters

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The border area is the difference of the two rectangle areas

border area = (red rectangle area) - (blue rectangle area)

border area = (150) - (50)

border area = 100 square meters

That's why the answer is choice D

Answer 2

100

Step-by-step explanation:

Use Pythagorean theorem to find the sides

pool is 5*10=50

border is 10*15=150

150-50=100