Question

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​

Answer 1

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