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If the perimeter of rectangle is 54 cm and its length is 3 cm more than breadth then find its area?

A sold a mobile phone to B at a gain of 25% and B sold it to Cat a loss of 10%. If C paid 5625 for it, how much did A pay (in) for the phone?

If x⁴ + x² y² + y⁴ = 37 and x² – xy + y² = 5, then what is the value of xy ?

If tan θ + cot θ = 5, then the value of tan² θ + cot² θ + 2tan² 60° is:

If the area of a rhombus is 14504 m² and the ratio of the diagonals is 37:49 then find the length of the shorter diagonal.

Ratio of length to width of a rectangular field is 2:3. If the perimeter of the field is 380 metres, then find the area (in m²) of the field.