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Alina [70]
3 years ago
8

You have a pool that measures 8 yards by 10 yards. You want to build a deck around all four sides of the pool and you want to in

crease the total area to 120 square yards. The deck is the same width on both sides forming a perfect rectangle. What is the width of the deck?
Mathematics
1 answer:
gladu [14]3 years ago
7 0
Given:
pool length : 10 yards
pool width : 8 yards

Area = 10 yds * 8 yds = 80 yd²

(10 + 2x)(8 + 2x) = 120 
10(8 + 2x) + 2x(8+2x) = 120
80 + 20x + 16x + 4x² = 120
4x² + 36x + 80 - 120 = 0
4x² + 36x - 40 = 0
4(x² + 9x - 10) = 0
4(x + 10)(x - 1) = 0

x + 10 = 0
x = -10
x - 1 = 0 
x = 1

the width of the deck is 1 yard


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