A rectangular carpet has an area of 60 sq.m. If its diagonal and long…

Question

A rectangular carpet has an area of 60 sq.m. If its diagonal and longer side together equal 5 times the shorter side, the length of the carpet is :

Accepted Answer

Option B. 12 m. Answer & Solution Answer: Option B Solution: We have : lb = 60 and l^2 + b^2 + l = 5b Now, & l^2 + b^2 = ( 5b - l )^2 & 24b^2 - 10lb = 0 & 24b^2 - 600 = 0 & b^2 = 25 & b = 5 & l = ( 60b ) & \,\,\,\,\,\,\,\, = ( 605 )m & \,\,\,\,\,\,\,\, = 12\,m So, length of the carpet = 12 m