Question 84735
length of the rectangular slab = L
width of the rectangular slab = W

Perimeter = 2L + 2W = 60

Area = L*W = 224
        L = {{{224/W}}}

Perimeter = {{{2*(224/W) + 2W}}} = 60

            {{{448 + 2*W^2}}} = {{{60*W}}}

            {{{W^2 + 224}}} = {{{30*W}}}

            {{{W^2 - 30*W + 224}}} = 0

*[invoke quadratic "W", 1, -30, 224]

            {{{(W-16) * (W-14)}}} = 0

              W = 16 or W = 14

     The longer side is therefore 16