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
3.16
units
> a
7.07
units
-
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s

Question:

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 0,3, B 2,4, C 4,0, and D 2,-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

Alex will need 13.42 units of tile to surround his pool.

Step-by-step explanation:

To find the units  of tiles that is needed to surround the pool  ABCD with single line of tiles  is equal to the perimeter of the rectangle

Perimeter of the rectangle = 2 length+2 width

In the figure, the width is given as 2.24 units and the diagonal is 5 units.

So we can find the length using Pythagorean theorem

Where

a is the hypotenuse

b and c are the legs of the right triangle.

c=  4.47 units

Now, the perimeter of the pool will be

Perimeter of the rectangle = 2 (4.47)+2 (2.24)

Perimeter of the rectangle = 8.94 + 4.48

Perimeter of the rectangle = 13.42 units

Thus, Alex will need 13.42 units of tile to surround his pool.