Let the length be L..... then the width is 24 - L
And area = L * W = L(24 - L)......and this equals 143
So we have
L(24-L) = 143
24L - L^2 = 143 rearranging, we have
L^2 - 24L + 143 = 0 factor
(L - 11)(L - 13) = 0 and setting each factor to 0....we have that L = 11cm or L = 13cm
And......depending upon how we orient the rectangle, the width either = 13cm or 11cm.
