Question

Problem some friends are planning to make a neighborhood garden. the total area available for the garden is \[210\] square meters, and they want this to be \[1\dfrac{1}{3}\] times the area of the in the garden. what should the area of the plant beds be?

Answer 1

To find the area of the plant beds for the neighborhood garden, divide the total garden area of 210 square meters by the factor 1ßrac{1}{3}, resulting in a plant bed area of 157.5 square meters.

Step-by-step explanation:

The problem asks for the area of the plant beds that will be part of a neighborhood garden. The total area available for the garden is 210 square meters, and the plant beds should be 1ßrac{1}{3} times less than this total area. To find the area of the plant beds, we can use the formula of total area divided by the multiplication factor.

Let's denote the area of the plant beds as A. We are given that the total area (210 m²) is 1ßrac{1}{3} times the area of the plant beds, so we can write the equation:

210 m² = A × 1ßrac{1}{3}

To find A, we need to divide the total area by the factor:

A = 210 m² ÷ 1ßrac{1}{3}

A = 210 m² ÷ ßrac{4}{3}

Now we invert and multiply:

A = 210 m² × ßrac{3}{4} = 157.5 m²

Therefore, the area of the plant beds should be 157.5 square meters.