Question

PLEASE HELP ASAP!!!!

Answer 1

Answer:

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

Answer 2

Answer:  Choice D) 100 square meters

=============================================================

Explanation:

Refer to the diagram below.

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

A = (9,0)

B = (17,6)

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

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

---------------

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