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
3.16
units
>A
7.07
units
-
+०
s

Answer 1

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

Answer:

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

$a^2 =b^2+c^2$

Where

a is the hypotenuse

b and c are the legs of the right triangle.

$(5)^2=(2.24)^2+c^2$

$c = \sqrt{ (5)^2-(2.24)^2}$

$c = \sqrt{ (25-5.0176)}$

$c = \sqrt{ 19.9824$

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.

Answer 2

Answer: 18.96 units

Step-by-step explanation:

Lets use Pythagorean Theorem here

AD² + 3.16² = 7.07²

(AD)² = 9.99 = 49.99

           -9.99   -9.99

(AD)² = 40

AD = √40

AD = 6.32

AD = BC = 6.32 units

AD = DC = 3.16 units

perimeter = 2(6.32) + 2(3.16) = 18.96

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