2. The perimeter of a rectangular park is 640 yards. The length of the rectangle is 40 yards less than twice the width. What are the dimensions of the park?


Answers

Answer 1
Answer: I = 200, w = 120
Answer 2

The dimensions of the park are obtained as 180 yards and 140yards respectively.

What is a Linear equation?

A linear equation is a equation that has degree as one.

To find the solution of n unknown quantities n number of equations with n number of variables are required.

Suppose the width of the rectangle be x yards.

Then, its length is given as x - 40 yards.

Since, the perimeter of a rectangle is given as 2(l + b).

Substitute the corresponding values to get the equation as follows,

640 = 2(x - 40 + x)

=> 640 = 2(2x - 40)

=> 2x - 40 = 640/2

=> 2x - 40 = 320

=> x = 360/2 = 180

Then, the length is given as 180 - 40 = 140 yards.

Hence, the dimensions of the park are obtained as 180 yards and 140 yards respectively.

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