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
.

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

Answer 1

The area of the rectangle is given by the formula A = lw. Substituting the given values, we get:

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

Expanding the expression, we get:

A = 3x^2 + x + 42x + 14

A = 3x^2 + 43x + 14

Therefore, the area of the rectangle is given by the polynomial expression 3x^2 + 43x + 14.