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

The number of tree is 2

Step-by-step 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=√( x^2+y^2) \\`

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

`z=√( 48^2+20^2) \\\\z=√( 2304+400) \\z=√( 2704) \\z=52m\\`

The diagonal is 52m

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

`(52)/(22) = 2.36\\`

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