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17 votes
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PLEASE HELP EXTRA HELP NEED STEP BY STEP

PLEASE HELP EXTRA HELP NEED STEP BY STEP-example-1
User Bojan B
by
2.6k points

2 Answers

13 votes
13 votes

Answer:

16 yards by 14 yards

Explanation:

let w be the additional width from the walkway

The total area is then

(w + 10)(w + 8) = 224

Expand

w^2 + 18w + 80 = 224

Subtract 224 from both sides

w^2 + 18w - 144 = 0

Factor (if you can't see how this factors use the quadratic equation)

(w + 24)(w - 6) = 0

w = {-24, 6}

Disregard the -24 since width cannot be negative

w + 10 = 6 + 10 = 16

w + 8 = 6 + 8 = 14

The garden plus walkway is 16 yards by 14 yards

User Omer Tuchfeld
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2.9k points
8 votes
8 votes

Answer:

if the garden is 10 by 8 that would equal 80. so you have to take 80 out of 224. it equals 144. so you have to figure out what would equal 144. 12 times 12 equals 144. so that is the dimension for the walkway.

User Olivera Kovacevic
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2.7k points