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Slav-nsk [51]
3 years ago
10

You are making a poster that will have a uniform border, as shown. the total area of the poster is 722 square inches. find the w

idth of the border to the nearest inch

Mathematics
1 answer:
olga55 [171]3 years ago
6 0
I FOUND YOUR COMPLETE QUESTION IN OTHER SOURCES.
 PLEASE SEE ATTACHED IMAGE.
 For this case the area is given by:
 A = (22 + x) * (28 + x) = 722
 Rewriting we have:
 616 + 22x + 28x + x ^ 2 = 722
 x ^ 2 + 50x + 616 - 722 = 0
 x ^ 2 + 50x - 106 = 0
 Solving the polynomial we have:
 x1 = 2.04
 x2 = -52.04
 We take the positive root:
 x = 2.04 inches:
 Answer:
 
The width of the border to the nearest inch is:
 
x = 2inches

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A triangular playground has sides that are lengths 2x feet, x-1 feet and x feet. If the perimeter of this playground is 27 feet,
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Answer:

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Step-by-step explanation:

At first, let us find the perimeter of the playground

∵ Perimeter of a triangle is P = S1 + S2 + S3

∵ The sides of the triangular playground are (2x) ft, (x - 1) ft, and x ft

∴ S1 = 2x, S2 = x - 1, S3 = x

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∵ P = 2x + x - 1 + x

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→ Divide both sides by 4

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∵ S1 = 2(7)

∴ S1 = 14 feet

∵ S2 = 7 - 1

∴ S2 = 6 feet

∵ S3 = 7 feet

∴ The lengths of the sides of the playground are 14 feet, 6 feet, 7 feet

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