Question

renee has a triangular garden with an area of 24 square feet. which drawing shows renees garden?

Explanation:

Step1: Recall the formula for the area of a triangle

The formula for the area of a triangle is \(A=\frac{1}{2}\times base\times height\).

Step2: Calculate the area for each triangle

• First triangle: Assume the base is \(8\) ft (dashed line) and height is \(6\) ft. Then \(A=\frac{1}{2}\times8\times6 = 24\) square feet.
• Second triangle: Base \( = 3\) ft, height \(=4\) ft. \(A=\frac{1}{2}\times3\times4=6\) square feet.
• Third triangle: Base \( = 8\) ft, height \(=3\) ft. \(A=\frac{1}{2}\times8\times3 = 12\) square feet.
• Fourth triangle: Base \( = 4\) ft, height \(=6\) ft. \(A=\frac{1}{2}\times4\times6=12\) square feet.

Answer:

The first drawing shows Renee's garden.