## Two square plots of land contains 74square feet. If the side of one plot is 2 feet longer than the side of other plot, find the dimension of

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## Answers ( )

Answer:The area of other plot = s² = 5² = 25 sq feetThe area of one plot = ( 5 + 2 )² = 7² = 49 sq feetStep-by-step explanation:Given as :

The total area of two square plots = 74 sq feet

Let The side of other plot = s feet

So, The side of one plot = ( s + 2 ) feet

Now ,

∵ Area of square = side²Area of other plot = s²

Area of one plot = ( s + 2 )²

As, The total area of two square plots = 74 sq feet

So , s² + ( s + 2 )² = 74 sq feet

Or, s² + s² + 4s + 4 = 74

Or, 2s² + 4s – 70 = 0

Or, s² + 2s – 35 = 0

Or, s² -5s + 7s – 35 = 0

Or, s ( s – 5) + 7 ( s – 5 ) = 0

So, ( s – 5 ) ( s + 7 ) = 0

∴ s = 5 , – 7

Thus The area of other plot = s² = 5² = 25 sq feetAnd The area of one plot = ( 5 + 2 )² = 7² = 49 sq feet Answer