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e-lub [12.9K]
2 years ago
11

Lamonte has 50 m of fencing to build a three-sided fence around a rectangular plot of land that sits on a riverbank. (The fourth

side of the enclosure would be the river.) The area of the land is 288 square meters. List each set of possible dimensions (length and width) of the field.
Mathematics
1 answer:
Korvikt [17]2 years ago
5 0

The dimensions of the length and width are 25 meters and 12. 5 meters respectively.

<h3>How to determine the values</h3>

Area of a rectangle

area of rectangle = l × w

where

l = length

w = width

Note that,

Perimeter = 2w+ l

50 = 2w + l

l = 50  - 2w

Hence,

area = w(50 - 2w)

288 = 50w - 2w²

-2w² + 50w - 288 = 0

-w² + 25w - 144 = 0

The dimension w can be found as follows;

w = - b / 2a

where

a = -1

b = 25

w = - 25 / 2 ×  -1

w = 12.5 meters

Then, we have that

l = 50  - 2w

Substitute the value of w

l = 50 - 2(12.5)

l = 50 - 25

I = 25 meters

Thus, the dimensions of the length and width are 25 meters and 12. 5 meters respectively.

Learn more about area of a rectangle here:

brainly.com/question/14137384

#SPJ1

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