exam Maths Puzzle Numerical Ability

Given: Isosceles Triangle ABC with Line segment AC Congruent Line segment BC; Line Segmen DF is perpendicular of Line segment Bc Line Segment DE is congruent to Line segment DF
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the length of a rectangle is 3 times the width. If the width were increased by 4 and the length remains the same the resulting rectangle would have an area of 231 sq.inches. find the dimension of the original. find the value of m for which the equation has equal roots (m+1)x2+2(m+3)+(m+8)=0