Question

sandy has a garden in her backyard. the drawing shows the dimensions of her garden.
which formula shows the area of sandy’s garden?
\\( a=(4)(6) \\)
\\( a=\frac{1}{2}(4)(6) \\)
\\( a=\frac{1}{2}(4 + 6) \\)
\\( a=2(4)(6) \\)

Explanation:

Step1: Recall the area formula for a triangle

The formula for the area of a triangle is \(A=\frac{1}{2}bh\), where \(b\) is the base and \(h\) is the height.

Step2: Identify base and height

From the problem, the base \(b = 4\) ft and the height \(h=6\) ft.

Step3: Substitute values into the formula

Substitute \(b = 4\) and \(h = 6\) into \(A=\frac{1}{2}bh\), we get \(A=\frac{1}{2}(4)(6)\).

Answer:

\(A=\frac{1}{2}(4)(6)\) (the second option)