Question

renee has a triangular garden with an area of 24 square feet. which drawing shows renees garden? (with four triangle drawings: first with base 6 ft and height 4 ft; second right triangle with legs 3 ft and 4 ft; third with base 6 ft and height 8 ft; fourth with base 3 ft and height 8 ft)

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 of each triangle

• For the first triangle: \(base = 6\) ft, \(height=4\) ft. Then \(A=\frac{1}{2}\times6\times4 = 12\) square feet.
• For the second triangle: \(base = 4\) ft, \(height = 3\) ft. Then \(A=\frac{1}{2}\times4\times3=6\) square feet.
• For the third triangle: \(base = 6\) ft, \(height = 8\) ft. Then \(A=\frac{1}{2}\times6\times8=24\) square feet.
• For the fourth triangle: \(base = 3\) ft, \(height = 8\) ft. Then \(A=\frac{1}{2}\times3\times8 = 12\) square feet.

Answer:

The third drawing (with base \(6\) ft and height \(8\) ft) shows Renee's garden.