Question

A rectangle has a length of 22 meters less than 7 times its width. If the area of the rectangle is 7805 square meters, find the length of the rectangle.

Answer 1

Answer:

Let x=Width

Length = 7x-22 (22m less the 7 times width)

A=L*w

A=(7x_22)x

7805=7x^2-22x

7x^2-22x-7805=0

(7x-223) (7x+223)=0

7x-223=0

7x=223

x=223%7

x=35

Now,

Length =7x-22

=7(35)-22

=223

therefore,length =223