Question 1189165
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You weren't careful enough to convert the given information into an equation correctly.  Your equation<br>
[((x+4)/2)(x+5)] - 35 = x(x+4)<br>
says that the x(x+4) is 35 less than the [((x+4)/2)(x+5)].  The given information says that the [((x+4)/2)(x+5)] is the smaller of the two expressions. ("If the length were halved and the breadth increased by 5 centimetres, the area would be decreased by 35 square centimetres").<br>
So<br>
[((x+4)/2)(x+5)] = x(x+4) - 35<br>