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3.) in area problem: The Johnsons are planning to build a 5 foot wide brick walkway in their rectangular garden, which is 20 feet wide and 30 feet long. What will the area of this walkway be? Before you solve the problem yourself use Caitlyn‘s idea: a.) Caitlin’s idea is to “ take away the area of the garden.” explain how to solve the problem about the area of the walkway by using this idea. Explain clearly how to apply one or both of them moving and additivity principles on area in this case. b.) now solve the problem about the area of the walkway in another way than you did in part a. Explain your reasoning.

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Here, we are to first find the area of the garden, then find the area of the walkway.

a) Using Caitlin's idea, we are to Subtract area of the garden from area of the total area of garden and walkway.

b) Area of garden = 20 * 30 = 600 ft²

Total Area of garden:

First find the total length and width of garden and walkway .

Total Length of garden and walkway = 20 + 5 + 5 = 30 ft

Total Width of garden and walkway = 30 + 5 + 5 = 40 ft

Total Area of garden and walkway = 30 * 40 = 1200 ft²

Therefore, area of walkway will be:

Area of walkway = Total area of garden and walkway - Area of garden

Area of walkway = 1200 - 600 = 600 ft²

ANSWER:

600 FT²

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