Question

there is a rectangular whose length is more than the breadth by 7m and diagonal is more than the length by 1m find the length and breadth

Answer 1

Step-by-step explanation:

given ,l - b = 7

√l^2 + b^2 - l = 1

squaring both sides after transposing l we get,

l^2 + b^2 = 1 + l^2 + 2l

so b^2 = 1 + 2l

b^2 -2(7+b) -1 = 0

b^2 - 2b - 15 = 0

hence b = 5 or -3 but side can't take negative value so b = 5

hence l = 12