Question

Write a simplified polynomial expression in standard form to represent the area of the rectangle below. A picture of a rectangle is shown with one side labeled as 5 x plus 2 and another side labeled as x minus 4.

Answer 1

The area of a rectangle is given by the length times the width of the rectangle.

Thus the area of the given rectangle is given by:

$(5x+2)(x-4)=5x^2-20x+2x-8\\ \\=5x^2-18x-8$