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
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.
