Question

A rectangle is 4 miles longer than it is

wide. Find the dimensions of the
rectangle if its area is 221 sq-miles.

Answer 1

The lenght is 17 miles

The wide is 13 miles

Let / l : the lenght of the rectangle

w : the wide of the rectangle

Explanation:

`a = l * w \\ 221 = (w + 4) * w \\ 221= w^(2) + 4w \\ {w}^(2) + 4w - 221 = 0 \\ (w + 17)(w - 13) = 0 \\ either \: w + 17 = 0 \\ so \: w = - 17 \: mile \: \: \: \: neglect \\ or \: w - 13 = 0 \\ so \: w = 13 \\ l = w + 4 \\ l = 13 + 4 = 17 \: mile`

I hope that is useful for you

Answer 2

1283 miklis

Explanation: