Question

Vivian is making a rectangular wooden picture frame that will have a width that is 10 inches shorter than its length. If she will use 92inches of wood, what are the demensions of the frame?

Answer 1

Notice the picture included, thus

$\bf Area=A=length\cdot width \begin{cases} length = L\\ width = W=L-10\\ Area = A = 92 \end{cases} \\\\ 92=L(L-10)\impliedby \textit{solve for "L"}$

what's the width? well, W = L - 10

Answer 2

The width would be 41 inches and the length would be 51 inches. They both add up to 92 and the length is ten inches more!