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.

Question

Mathematics

Cayden Pearson

4 January, 00:58

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.

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Answers (1)

Know the Answer?

Rosa Porter · Answer 1

a) A = 48x + 24

b) Yes

Step-by-step 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.