1. Show all work. A gardener wants to create a rectangular garden with length of

Question

1. Show all work. A gardener wants to create a rectangular garden with length of 8x - 4y ft. and width of 6x - 6y. What is an algebraic expression for the area of the garden? Be sure to multiply this out, express in simplest correct mathamatical form, and include units.


2. The length of the side of a rectangular desk is given by 3x - 2y cm. The length of the front is given by 3x + 2y cm. What is an algebraic expression for the area of the top of the rectangular desk? Include correct units as part of your answer.

Explanation / Answer

1. The area is the length times the width.
Area = (8x-4y)(6x-6y)
Area=48x2-72xy+24y2

There you go.

2. Area: length x width

Area = (3x-2y)(3x+2y)

Area = 9x2-4y2

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