Respuesta :
Solution:
As, given tile along the edge of a triangular community pool needs to be replaced.
There may be single tile, two tiles ,or more than two tiles along the edges of triangle.
Keeping in mind, if tiles are in the shape of rectangle , or Square
→→The total perimeter of pool edge which is in the shape of a triangle= 3 × (Either length or breadth of rectangle or side of square which is in the shape of tile )
→Means, out of the options given, the option which is completely divisible by 3 will be perimeter of pool edge.
Option (1) : 12 x² + 15= 3 ×(4 x² + 5)→→is the only option which is completely divisible by 3.So, this can be perimeter of the pool edge.
The total perimeter of the pool edge [tex]\boxed{12{x^2} + 15}[/tex].Option A is correct.
Further Explanation:
The formula of area of square can be expressed as follows,
[tex]{\text{Area}} = \dfrac{1}{2} \times \left( b \right) \times \left( h \right)[/tex]
The formula of perimeter of the triangle can be expressed as follows,
[tex]\boxed{{\text{Perimeter}} = 3 \times s}[/tex]
Here, s represents the side of square.
Given:
The options are as follows,
A. [tex]{12x^2} + 15[/tex]
B. [tex]{20x^2} + 25[/tex]
C. [tex]{12x^2} + 8x +25[/tex]
D. [tex]{24x^2} + 16x + 50[/tex]
Explanation:
Option A is [tex]{12x^2} + 15.[/tex]
12 and 15 are the multiple of 3.
[tex]\begin{aligned}{\text{Perimeter}} &= 12{x^2} + 15\\&= 3\left( {4{x^2} + 5} \right)\\\end{aligned}[/tex]
Therefore, the perimeter of the pool is [tex]{12x^2} + 15.[/tex]
The total perimeter of the pool edge [tex]\boxed{12{x^2} + 15}[/tex].Option A is correct.
Option A is correct.
Option B is not correct.
Option C is not correct.
Option D is not correct.
Learn more:
- Learn more about inverse of the function https://brainly.com/question/1632445.
- Learn more about equation of circle brainly.com/question/1506955.
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Answer details:
Grade: Middle School
Subject: Mathematics
Chapter: Mensuration
Keywords: tile, edge, triangular, community pool, replaced, expression, total perimeter, pool edge, length, square, tile, polynomial expression, area, outermost tile, square tile, side of square, width, breadth, area of rectangle, dimension, measure of sides, dimensions of rectangle, expression, square.
