Njoki planted trees at intervals of 22m apart on the diagonal of a rectangular plot of land that measures 48m by 20m . How many trees did h

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Njoki planted trees at intervals of 22m apart on the diagonal of a rectangular plot of land that measures 48m by 20m . How many trees did he plant​

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RI SƠ 4 years 2021-08-27T10:41:10+00:00 1 Answers 18 views 0

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    2021-08-27T10:43:08+00:00

    Answer:

    The number of tree is 2

    Explanation:

    the diagonal of the rectangular plot of land  can be found using Pythagoras theorem (the diagonal is the hypotenuse)

    Given

    length of land x= 48m

    width of land y= 20m

    digonal z= ?

    z^2= x^2+y^2\\\\z=\sqrt{ x^2+y^2} \\

    substituting the values of x and y into the equation we can solve for z

    z=\sqrt{ 48^2+20^2} \\\\z=\sqrt{ 2304+400} \\z=\sqrt{ 2704} \\z=52m\\

    The diagonal is 52m

    Hence since the interval = 22m the number if treee is

    \frac{52}{22} = 2.36\\

    The number of trees must be whole numbers , the number of tree is 2

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