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.

Respuesta :

Answer:

The original width of the rectangle is [tex]\frac{4}{5}\ ft[/tex]

Step-by-step explanation:

Let

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

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

we know that

[tex]\frac{7}{25}=x(y-\frac{1}{3})[/tex]

we have

[tex]x=\frac{3}{5}\ ft[/tex]

substitute the value ox x and solve for y

[tex]\frac{7}{25}=\frac{3}{5}(y-\frac{1}{3})[/tex]

[tex]\frac{7}{15}=(y-\frac{1}{3})[/tex]

[tex]y=\frac{7}{15}+\frac{1}{3}=\frac{12}{15}\ ft[/tex]

Simplify

[tex]y=\frac{12}{15}=\frac{4}{5}\ ft[/tex]