Question

A rectangle has a length of 6x +3 units and a width of 8 units. Part A: Write a simplified expression for the area, in square units, of this rectangle. Answer: square units Another rectangle has a length of 4x + 2 units and a width of 12 units Part B: Are the areas of both rectangles the same? Explain how you know.

Answer 1

a) A = 48x + 24

b) Yes

Explanation:

a) The area of a rectangle is found using A = l*w. Substitute l = 6x + 3 and w = 8 to find the area.

A = (6x + 3)(8) = 48x + 24

b) Repeat the same process with the formula A = l*w. Substitute l = 4x + 2 and w = 12.

A = (4x+2)(12) = 48x + 24

The areas are the same.