Question

The dimensions of a rectangular floor are 4x + 5 units and 3x – 2 units respectively.

1.) Compute for the area of the floor using the concept of algebra tiles and determine its area in polynomial form.



2.) If the value of x is 2 ft, find the area of the rectangle in feet by substituting the value of x. Show your solutions.



3.) The perimeter of a rectangle is the sum of the measures of the 4 sides of a rectangle. Using the dimensions of the rectangular floor mentioned above, compute for its perimeter using the concept of algebra tiles.



4.) What are the advantages and disadvantages of solving addition and multiplication of polynomials using algebra tiles?

Answer 1

$(2x + 3)(3y - 1)$

$6xy + 3y - 2x - 3$

$area \: of \: rectangle$