Question

The perimeter of a square is 40x²+16x² . Find the area.

Answer 1

`four \: sides \: = 40 {x}^(2) + 16 {x}^(2) \\ one \: side \: =(40 {x}^(2) + 16 {x}^(2)) / 4 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 10 {x}^(2) + 4 {x}^(2) \\ area \: \: \: \: \: \: \: \: \: = length \: * breath \\ \: \: \: \: = (10 {x}^(2) + 4 {x}^(2)) * (10 {x}^(2) + 4 {x}^(2)) \\ = 100 {x}^(4) + 40 {x}^(4) + 40 {x}^(4) + 16 {x}^(4) \\ \ = 196 {x}^(4)`