Polly decides to use a wall of the house as one sideof the rectangular dog pen. She plans to use the 24 ft. of fencing (1 ft. sections) for the other 3 sides. What are the dimensions ofthe best dog pen for polly's poodle? Explain

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What do you think are the best dimensions?

We'll be glad to check your answer.

A = l + w

the best dimensions would be lenght 10 feet and width 4 feet

24 - 4 = 20

20 divided by 2 (lenght) 10
10 by 10 by 4 = 24

If one length is along the house, then you still have 24 feet to divide among three sides.

24 divided by 3 (sides) = 8

8 divided by 2 (sides) = 4

24 - 4 = 20

20 divided by 2 (sides) = 10

10 by 10 by 4 = 24 feet of fencing

You don't need fencing along the wall of the house.

How about dimensions of 12 by 6, with 12 feet along the house?

12 + 6 + 6 = 24 feet of fencing.

i almost thought this was an optimization problem

i kinda understand but not sure how i write the problem up