Alex is planning to surround his pool abcd with a single line of tiles. how many units of tile will he need to surround his pool? round your answer to the nearest hundredth. a coordinate plane with quadrilateral abcd at a 0 comma 3, b 2 comma 4, c 4 comma 0, and d 2 comma negative 1. angles a and c are right angles, the length of segment ab is 2 and 24 hundredths units, and the length of diagonal bd is 5 units. 8.96 10.48 13.42 20.42

the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

step-by-step explanation:

look at the picture.

1.

ef : ab = 2 : 3

gf : cb = 2 : 3

gh : cd = 2 : 3

he : da = 2 : 3

2.

∠a ≅ ∠e

∠b ≅ ∠f

∠c ≅ ∠g

∠d ≅ ∠h

3.

use pythagorean theorem:

the length of the abcd trapezoid sides:

|ab| = 3 cm

|bc| = 10 cm

|cd| = 3(3) cm = 9 cm

|da| = 8 cm

the perimeter of abcd = 3 + 10 + 9 + 8 = 30 cm

the ratio of perimeters of the tarapezoids is equal 2 : 3.

substitute:

      cross multiply

      divide both sides by 3