Question

When the width of a rectangle with a length of 3/5 foot was decreased by 1/3 foot, the area of the rectangle became 7/25. Find the original width of the rectangle.

Answer 1

The original width of the rectangle is
`(4)/(5)\ ft`

Explanation:

Let

x-----> the length of the rectangle

y----> the original width of the rectangle

we know that

`(7)/(25)=x(y-(1)/(3))`

we have

`x=(3)/(5)\ ft`

substitute the value ox x and solve for y

`(7)/(25)=(3)/(5)(y-(1)/(3))`

`(7)/(15)=(y-(1)/(3))`

`y=(7)/(15)+(1)/(3)=(12)/(15)\ ft`

Simplify

`y=(12)/(15)=(4)/(5)\ ft`