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Aaden has 50 m of fencing to build a four-sided fence around a rectangular plot of land. The area of the land is 154 square meters. Solve for the dimensions (length and width) of the field.

Respuesta :

The length of the field is 16m.

The width of the field is 9m

What are the equations that can be formed from this question?

Area = length x width

154 = ab

b = 154 / a equation 1

Perimeter = 2(length + width

50 = 2(a + b)

a + b = 50/2

a + b = 25 equation 2

Where:

a = length

b = width

What is the length and width?

Substitute for b in equation 2

a + 154/a = 25

a² + 154 - 25a = 0

a² - 9a - 16a + 154 = 0

a(a - 9) -16(a - 9) = 0

a - 16 = 0

a = 16

a - 9 = 0

a = 9

To learn more about simultaneous equations, please check: https://brainly.com/question/25875552

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