a garden pond is in the shape of a rectangle that measures 5 m by 3 m. a stone path is built all around the pond. this path is t
he same width all the way around. the area of the pond and the path together is 39 m². how wide is the path?
1 answer:
Answer:
<u>1.16 m (approximately)</u>
Step-by-step explanation:
Let x be the width of the path.
Total area = (5+2x)(3+2x) = 39
Expand and simplify
4x²+ 16x+15-39 = 0
4x² + 16x - 24 = 0
Simplify
x² + 4x -6 = 0
Rational factoring does not work, so use quadratic formula
x = +/- sqrt(10) -2
= 1.16 or -5.16 (reject)
= <u>1.16 m (approximately)</u>
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