Question

which figure has a greater area? save answer

Explanation:

Step1: Calculate the area of the yellow triangle

The formula for the area of a triangle is \(A=\frac{1}{2}\times base\times height\).
For the yellow triangle, \(base = 87\space cm\) and \(height=64\space cm\).
So, \(A_{yellow}=\frac{1}{2}\times87\times64\)

$$
LATEXBLOCK0
$$

Step2: Calculate the area of the green triangle

For the green triangle, \(base = 74\space cm\) and \(height = 69\space cm\).
Using the formula \(A=\frac{1}{2}\times base\times height\), we have \(A_{green}=\frac{1}{2}\times74\times69\)

$$
LATEXBLOCK1
$$

Step3: Compare the two areas

Since \(2784>2553\)

Answer:

The yellow - colored triangle has a greater area.