A rectangle has a length of 25 meters less than 6 times its width. If the area of therectangle is 261 square meters, find the length of the rectangle.

Question

asked Sep 22, 2023 71.2k views

1 Answer

DilumN · Answer 1 · 2023-09-28T17:07:59+0000

Let the length be x and width be y.

As per the condition:

As per the second condition:

Combine the two conditions to get:

$\begin{gathered} y(6y-25)=261 \\ 6y^2-25y-261=0 \\ y=9,(-29)/(6) \end{gathered}$

Since length is never negative, y=9.

hence the length is given by:

$\begin{gathered} x=6y-25 \\ x=6(9)-25 \\ x=29 \end{gathered}$

Hence the length of the rectangle is 29 meters.