Question

shown is a square garden with a triangular pond. find the area of the garden that is grass. 6m 3m 4m

Explanation:

Step1: Calculate area of square garden

The side length of the square is \( 6 \, \text{m} \). The formula for the area of a square is \( A = s^2 \), where \( s \) is the side length. So, the area of the square garden is \( 6^2 = 36 \, \text{m}^2 \).

Step2: Calculate area of triangular pond

The base of the triangle is \( 4 \, \text{m} \) and the height is \( 3 \, \text{m} \). The formula for the area of a triangle is \( A = \frac{1}{2} \times \text{base} \times \text{height} \). So, the area of the triangular pond is \( \frac{1}{2} \times 4 \times 3 = 6 \, \text{m}^2 \).

Step3: Calculate area of grassy part

To find the area of the grass, we subtract the area of the triangular pond from the area of the square garden. So, \( 36 - 6 = 30 \, \text{m}^2 \).

Answer:

The area of the garden that is grass is \( 30 \, \text{square meters} \) (or \( 30 \, \text{m}^2 \)).