Lucia is building a square patio with a side length of n feet. She will cover the floor of the patio with tiles and put a fence around the
perimeter of the patio. The tiles cost $5 per square foot. The fencing costs $3 per foot. She will also buy additional supplies for $25. Let n represent the edge length, in feet, of the patio.

What does the expression 5n^2 + 12n + 25 represent?

A. The total area of the patio.
B. The cost per foot of fencing.
C. The cost per square foot of tiles.
D. The total cost of tiling and fencing the patio.
E. The sum of the area and perimeter of the patio.

Respuesta :

The cost per square foot of tiles

The given expression is the total cost of tiling and fencing the patio , Option D is the correct answer.

What is a square ?

A square is a two-dimensional figure , and a polygon with four sides , All the sides and angles of square is equal .

It is given that

Lucia is building a square patio with a side length of n feet.

She will cover the floor of the patio with tiles and put a fence around the

perimeter of the patio.

The tiles cost $5 per square foot

The fencing costs $3 per foot

She will also buy additional supplies for $25.

Let n represent the edge length, in feet, of the patio.

the expression 5n² + 12n + 25 represent = ?

Area of the patio in square shape will be given by

side * side = n * n =n²

Title cost total = $5 * n²

Title cost total = 5 n²

Perimeter of the patio is given by 4 * side

Perimeter of the patio = 4n

The fencing cost = 3 * 4n = 12n

and the additional cost is $25

The total cost = 5 n² + 12n + 25

Therefore the given expression is the total cost of tiling and fencing the patio , Option D is the correct answer.

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