Question

The area of a rectangle is found using the formula A=lw, where l is the length of the rectangle and w is the width. Multiply each pair of factors and express the area of each rectangle as a single polynomial in terms of x.

l=x+14; w=3x+1

Answer 1

A(x) = 3x² + 43x + 14

Explanation:

Area of a rectangle = length × width

length = x + 14

width = 3x + 1

Area of a rectangle = length × width

= (x + 14)(3x + 1)

= 3x² + x + 42x + 14

= 3x² + 43x + 14

express the area of each rectangle as a single polynomial in terms of x.

A(x) = 3x² + 43x + 14