Question

The floor of a shed has an area of 99 square feet. The floor is in the shape of a rectangle whose length is 7 feet less than twice the width. Find the length and the width of the floor of the shed

Answer 1

so hmmm notice the picture below

if the width is "w", twice that is 2*w or 2w, 7 less than that will then be
2w - 7

thus
`\bf \textit{area of a rectangle}\\\\ A=lw\qquad \begin{cases} l=length\\ w=width\\ -------\\ A=99\\ l=2w-7 \end{cases}\implies 99=(2w-7)w`

solve for "w", to see what the width is

what about the length? well, l = 2w - 7