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The perimeter of a rectangular park is 620 meters. The length of the park is 20 meters less than twice the width. What are the length and width of the park?
a) L = 240m; W = 70m
b) L = 210m; W = 100m
c) L = 200m; W = 110m
d) L = 160m; W = 150m

Respuesta :

Answer:

Option C) L = 200 m; W = 110 m

Step-by-step explanation:

We are given the following in the question:

Perimeter of rectangular park = 620 meters

Let [tex]w[/tex] meters be the width of the park.

Then, length of the park is given by:

[tex]l = (2w-20)\text{ meters}[/tex]

Perimeter of the rectangular park i s given by:

[tex]P= 2(l+w)[/tex]

Putting values, we get,

[tex]620 = 2(2w-20+w)\\310 = 3w - 20\\330 = 3w\\\Rightarrow w = 110\text{ meters}\\\Rightarrow l = 2(110) - 20 = 200\text{ meters}[/tex]

Thus, the dimensions of the rectangular park are:

Option C) L = 200 m; W = 110 m

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