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Each container has a base of 4 1/4 yds by 1 2/3 yds. What is the area covered by all the containers?

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Answer:

See Explanation

Explanation:

Given

Base Dimension


Length = 4(1)/(4)yd


Width = 1(2)/(3)yd

Required

The base area of all containers

First, calculate the base area of 1 container.

This is calculated as:


Area = Length * Width


Area = 4(1)/(4)yd * 1(2)/(3)yd

Express as improper fraction


Area = (17)/(4)yd * (5)/(3)yd

So, we have:


Area = (17*5)/(4*3)yd^2


Area = (85)/(12)yd^2

The number of containers is not given. So, I will use 'n' as the number of containers.

So, we have:


Total = n * Area


Total= n * (85)/(12)yd^2

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Assume n is 3 (i.e. 3 containers)

The total area is:


Total= 3 * (85)/(12)yd^2


Total= (85)/(4)yd^2


Total= 21(1)/(4)yd^2

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