Question 1070884
Here the key is to figure out the width.   The length is 24cm and a diagonal is 74cm.  Fortunately, the diagonal is related to the width and length as follows:

                          {{{ diagonal = sqrt((length)^2 + (width)^2) }}}

                          {{{  74 = sqrt(24^2 + (width)^2) }}}
                         {{{  74^2 = 24^2 + (width)^2 }}}
                         {{{  74^2 - 24^2 = (width)^2 }}}
                         {{{  5476 - 576 = (width)^2 }}}
                         {{{  4900 = (width)^2 }}}
                         {{{  sqrt(4900) = (width) }}}
                         {{{    70 = (width) }}}

So the width is 70cm  (technically width and length are swapped as length is the longer dimension)


Finally, the area = (length) x (width) = 70cm * 24cm = {{{ highlight(1680cm^2) }}}