Question

what is the area of the rectangle?
16 square units
complete the statement:
the area of the original triangle is half
the area of the rectangle.
what is the area of the original triangle?
square units

Explanation:

Step1: Recall the relationship between triangle and rectangle area

The formula for the area of a rectangle is \(A_{rectangle}=l\times w\) (length times width), and the formula for the area of a triangle is \(A_{triangle}=\frac{1}{2}\times b\times h\) (base times height divided by 2). When a triangle has the same base and height as a rectangle, \(A_{triangle}=\frac{1}{2}A_{rectangle}\)

Step2: Use the given information

We are given that \(A_{rectangle} = 16\) square units. Since \(A_{triangle}=\frac{1}{2}A_{rectangle}\)

Substitute \(A_{rectangle}=16\) into the formula: \(A_{triangle}=\frac{1}{2}\times16\)

Step3: Calculate the area of the triangle

\(\frac{1}{2}\times16 = 8\)

Answer:

\(8\)