Question

which figure has a greater area? save answer

Explanation:

Step1: Calculate the area of the brown triangle

The formula for the area of a triangle is \(A=\frac{1}{2}\times base\times height\). For the brown triangle, \(base = 29\space mm\) and \(height=28\space mm\). So \(A_{brown}=\frac{1}{2}\times29\times28=\frac{29\times28}{2}=29\times14 = 406\space mm^{2}\)

Step2: Calculate the area of the blue triangle

For the blue right - angled triangle, \(base = 30\space mm\) and \(height = 22\space mm\). Using the formula \(A=\frac{1}{2}\times base\times height\), we get \(A_{blue}=\frac{1}{2}\times30\times22= 30\times11=330\space mm^{2}\)

Answer:

The brown triangle has a greater area.