# The width of the garden plot is 40 m and is equal to 4/5 of its length. Three quarters of the area

**The width of the garden plot is 40 m and is equal to 4/5 of its length. Three quarters of the area is dedicated to a vegetable garden. What is the area of the personal plot allocated for the vegetable garden?**

The first step is to find the length, knowing that the width is 4/5 of the length, which is 40 meters. In order to find a number by its part, we must divide this number by a part. Let’s calculate what the length of the personal plot is equal to.

40: 4/5 = (40 * 5) / 4 = 200/4 = 50 meters.

Let’s calculate what the value of the area of the rectangle is.

S = 50 * 40 = 200 m².

Let’s calculate what part of the personal plot is allocated for the garden, knowing that it is ¾ of the area. To find the part of the number, you need to multiply this part by the number.

¾ * 200 = (3 * 200) / 4 = 600/4 = 150 m².

Answer: 150 m².