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

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unicornzoe unicornzoe

16-08-2018
Mathematics

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

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jellybeans9090 jellybeans9090 · Answer 1 · 2018-08-21T19:32:10+02:00

[tex]four \: sides \: = 40 {x}^{2} + 16 {x}^{2} \\ one \: side \: =(40 {x}^{2} + 16 {x}^{2}) \div 4 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 10 {x}^{2} + 4 {x}^{2} \\ area \: \: \: \: \: \: \: \: \: = length \: \times breath \\ \: \: \: \: = (10 {x}^{2} + 4 {x}^{2}) \times (10 {x}^{2} + 4 {x}^{2}) \\ = 100 {x}^{4} + 40 {x}^{4} + 40 {x}^{4} + 16 {x}^{4} \\ \ = 196 {x}^{4} [/tex]