last year mr smith's rectangular garden has a width of 4 meters and an area of 24 square meters this year he wants to make it three times as long and twice as wide

Is there a question somewhere ?

To solve this problem, we'll first calculate the dimensions of Mr. Smith's garden last year.

The area of a rectangle can be found by multiplying its length by its width. We know that the width of the garden is 4 meters and the area is 24 square meters. Let's solve for the length:

Area = Length * Width
24 = Length * 4

Divide both sides of the equation by 4:

Length = 24 / 4
Length = 6 meters

So, last year, Mr. Smith's garden had a length of 6 meters and a width of 4 meters.

Now, let's calculate the dimensions of the garden this year. Mr. Smith wants to make it three times as long and twice as wide.

Length this year = 3 * Length last year
Length this year = 3 * 6
Length this year = 18 meters

Width this year = 2 * Width last year
Width this year = 2 * 4
Width this year = 8 meters

Therefore, this year Mr. Smith's garden will have a length of 18 meters and a width of 8 meters.