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Anettt [7]
3 years ago
13

In a rectangle, the length is 7 m less than three times the width and the area is 111 m. Approximate the dimensions to the neare

st tenth of a meter.
Mathematics
1 answer:
nikklg [1K]3 years ago
7 0

Answer:

The dimensions are 7.4m by 15.1 m (to the nearest tenth).

Step-by-step explanation:

Area = length * width

If the width = x then the length = 3x - 7 so

Area x(3x - 7) = 111

3x^2 - 7x - 111 = 0

Using the quadratic formula:

x  = [ -(-7) +/- √((-7)^2 - 4*3*-111)] / (2*3)

x =  7.36, -5.03.

The width must be positive s it is 7.36 m.

The length = 3(7.36) - 7

= 15.08 m.

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