Question

Flora is using two different rectangular tiles for her kitchen flooring. The area A of Tile 1 is given by the equation A = 2x², where x is the width of the tile in inches. The area A of Tile 2 is given by the equation A = x² + 5x, where x is the width of the tile in inches

a. Write a polynomial equation for the total area of tile T in square inches if Flora uses ten of Tile 1 and six of Tile 2.

b. Predict the total area of the tile from part a if the width of each tile is 3 inches.
pls show work

Answer 1

The polynomial equation is 26x² + 30x represents the total area and of the tile from part, a is 324 square inches.

What is the area of the rectangle?

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

We have:

The area A of Tile 1 is given by the equation A = 2x²

The area A of Tile 2 is given by the equation A = x² + 5x

a)

Total area = 10(Tile 1) + 6(Tile 2)

Total area = 10(2x²) + 6(x² + 5x)

Total area = 20x² + 6x² + 30x

Total area = 26x² + 30x

b) Plug x = 3 inches in the equation 26x² + 30x

A = 26(3)² + 30(3)

A = 324 square inches

Thus, the polynomial equation is 26x² + 30x represents the total area and of the tile from part, a is 324 square inches.

Learn more about the rectangle here:

https://brainly.com/question/15019502

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