A man has a garden measuring 40m by 24m. He wants to divide it equally into the minimum number of square plots

Complete question :

A man has a garden measuring 40m by 24m. He wants to divide it equally into the minimum number of square plots. what is the length of each square plot?

8 m

Step-by-step explanation:

Given that :

Dimension of garden = 40m by 24m

Length of garden = 40m

Width of garden = 24m

To Obtain the length of each square plot if the garden is divided into minimum number of square plots ; we take the highest common factor of the dimension:

Length (40) = 1, 2, 4, 5, 8, 10, 20, 40

Width (24) = 1, 2, 3, 4, 6, 8, 12, 24

The highest common factor here is 8 ;

Thus, the length of each square plot is 8m

sure i'm up for it

step-by-step explanation:

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places