Question

the width of a rectangle is 6 km less than twice its length if the area is 140 square kilometers find the dimensions of the rectangle​

Answer 1

Answer: L = 10 , W = 14

Explanation:

Let
`L` represent the Length and
`W` represents the Width , then from the first statement , we have

`W +6 = 2L`

That is :

`W = 2L - 6`

The formula for finding the area of a rectangle is given as:

`Area =`
`Length` x Width

That is :

`140 = L(2L-6)`

140 =
`2L^(2)`
`-6L`

That is :

`2L^(2)-6L-140=0`

solving the quadratic equation , we have

`L = 10` or
`L = -7`

Since the length can not be negative , therefore :

L = 10

Substitute L = 10 , to get W ,

W = 2L - 6

W = 20 - 6

W = 14

Therefore , the dimension is 10 x 14