A garden measuring 9 meters by 4 meters is going to have a walkway constructed all around the perimeter, increasing the total ar
ea to 150 square meters. What will be the width of the pathway? (The pathway will be the same width around the entire garden).
2 answers:
Answer:
3 metres
Step-by-step explanation:
Let the width of the pathway be x
Area: (9+2x)(4+2x)
36 + 8x + 18x + 4x²
4x² + 26x + 36
Increased area is 150:
4x² + 26x + 36 = 150
4x² + 26x - 114 = 0
2x² + 13x - 57 = 0
2x² + 19x - 6x - 57 = 0
x(2x + 19) - 3(2x + 19) = 0
(x - 3)(2x + 19) = 0
x = 3, x = -19/2
Answer:
3 meter
Step-by-step explanation:
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