Question

Ziyad’s family owns a rectangular piece of land. If the length of the land is represented by 2x - 6 and the width is represented by 3x - 5, what polynomial represents the total area of this piece of land?

Answer 1

Area of rectangular land = 6x² - 28x + 30

Explanation:

Given:

Length of rectangular land = 2x - 6

Width of rectangular land = 3x - 5

Find:

Area of rectangular land

Computation:

Area of rectangle = Length × Width

Area of rectangular land = [Length of rectangular land][Width of rectangular land]

Area of rectangular land = [2x - 6][3x - 5]

Area of rectangular land = (2x)(3x) - (2x)(5) - (6)(3x) + (6)(5)

Area of rectangular land = 6x² - 10x - 18x + 30

Area of rectangular land = 6x² - 28x + 30