Question

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

Answer 1

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

Explanation:

We are given the following in the question:

Perimeter of rectangular park = 620 meters

Let
`w` meters be the width of the park.

Then, length of the park is given by:

`l = (2w-20)\text{ meters}`

Perimeter of the rectangular park i s given by:

`P= 2(l+w)`

Putting values, we get,

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

Thus, the dimensions of the rectangular park are:

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