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gulaghasi [49]
2 years ago
14

The length of a rectangular floor is two ft more than its width. If the area of the floor is 63 ft, find the length and the widt

h of the floor.​
Mathematics
1 answer:
NemiM [27]2 years ago
3 0

Answer:

width = 7 and length = 9

Step-by-step explanation:

Let's assume width = w, and length = 2 + w

So area of a rectangle = width * length

63 ft² = w (2 + w)

63 = 2w + w²

w² + 2w - 63 = 0

Use the quadratic formula to solve this

here, a = 1, b = 2 and c = -63

w = 7 or -9

The dimensions of a rectangle cannot be negative. So we take the dimension, w = 7.

Width = 7 and Length = 7+2 = 9

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\\
\\\text{Dividing both sides by 1.96,}
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\\\text{Squaring both sides,}
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\\\text{Multiplying both sides by n,}
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\\\text{Isolating n,}
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\\n=\frac{0.2331}{(\frac{0.04}{1.96})^2}=559.67\approx560
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