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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 4, B 3 comma 5, C 5 comma negative 1, and D 2 comma negative 2. Angles A and C are right angles, the length of segment AB is 3 and 16 hundredths units, and the length of diagonal BD is 7 and 7 hundredths units.
12.64
18.96
25.28
26.78

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lucic

The number of units of tiles he will need is 18.96 units

Step-by-step explanation:

The parallelogram ABCD has a right triangle ABD with A as 90°

The length of segment AB is given as 3.16 units and that of the diagonal BD is 7.07 units.

Apply Pythagorean relationship to find length of segment AD=BC

The sum of squares of the sides equals the square of the hypotenuse.

a²+b²=c²

In this case, side a=3.16 units, b=AD and c=hypotenuse=7.07

Applying the formula;

a²+b²=c²

3.16²+b²=7.07²

9.99+b²=49.99

b²=49.99-9.99

b²=40

b=√40=6.3245 =6.32

AD=BC=6.32 units

Find the perimeter of the quadrilateral

=3.16+3.16+6.32+6.32=18.96 units

Learn More

Perimeter of a quadrilateral :https://brainly.com/question/12708927

Keywords : single line of tiles, pool,quadrilateral,length,hundredth

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Answer:

18.96 units

Step-by-step explanation:

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