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

Question

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 both plots

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Kinsley 1 week 2021-11-21T15:56:13+00:00 1 Answer 0

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    2021-11-21T15:57:50+00:00

    Answer:

    The area of other plot = s² = 5² = 25  sq feet

    The area of one plot = ( 5 + 2 )² = 7² = 49  sq feet

    Step-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 = side²

     Area 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 feet

    And The area of one plot = ( 5 + 2 )² = 7² = 49  sq feet  Answer

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