Question

I really need someone's help!

A rectangle has a length of (2w + 7) feet and a width of (w + 5) feet. Find the possible values of w for the perimeter of the rectangle to be at least 72 feet.

Answer 1

`We \: have \: an \: inequality: 2(2w + 7 + w + 5) \geqslant 72\\ \Leftrightarrow 3w + 12 \geqslant 36\Leftrightarrow 3w \geqslant 24\Leftrightarrow w \geqslant 8`