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.

Answer 1

Answer:

18.97 units  

Step-by-step explanation:

Assume that the pool looks like the diagram below.

The pool consists of two equal right triangles.

We know that AB = CD = 3.16.

1. Find the length of the pool

AD = BC,  and we can use Pythagoras' Theorem to calculate AD.

  AB² + AD² = BD²

 3.16² + AD² = 7.07²

9.986 + AD² = 48.98

             AD² = 48.98 - 9.986 = 40.00

             AD   = 6.324

2. Find the perimeter of the pool

P = AB + BC + CD + DA =3.16 + 6.324 + 3.16 + 6.324 = 18.97

Alex will need 18.97 units of tile to surround the pool.

Answer 2

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

A coordinate plane with quadrilateral ABCD at A (0,3), B (2,4), C (4,0), and D (2,-1).

How to find the boundary of the pool?

To find the units  of tiles that are needed to surround the pool ABCD with a 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 the Pythagorean theorem, which is c²=a²+b².

Now, 5²=(2.24)²+b²

b=4.47 units

Now, the perimeter of the pool will be 2 (4.47)+2 (2.24)

= 8.94 + 4.48

The perimeter of the rectangle = 13.42 units

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

To learn more about the perimeter of the rectangle visit:

https://brainly.com/question/15287805.

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