10th Class Mathematics Solved Paper - Mathematics-2018

  • question_answer 8)
    In fig. 1, ABCD is a rectangle. Find the values of x and y.

    Answer:

    Given, ABCD is a rectangle.
    \[\therefore \]                  \[AB=CD\]
    \[\Rightarrow \]               \[30=x+y\]
    Or                     \[x+y=30\]
    Similarly,           \[AD=BC\]                                                                    ?(i)
    \[\Rightarrow \]               \[14=x-y\]
    Or                  \[x-y=14\]
    On adding eq. (i) and (ii), we get                                                               ?(ii)
                             \[2x=44\]
    \[\Rightarrow \]               \[x=22\]
    Putting the value of x in eq. (i), we get
                        \[22+y=30\]
    \[\Rightarrow \]               \[y=30-22\]
    \[\Rightarrow \]                 \[y=\text{ }8\]
    So,  \[x=22,\text{ }y=8\].


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