Question

which figure has a greater area? 92 m 47 m 54.2 m 46.3 m

Explanation:

Step1: Calculate triangle area

The area formula for a triangle is $A_{triangle}=\frac{1}{2}\times base\times height$. Here, the base is $47$ m and the height is $92$ m. So $A_{triangle}=\frac{1}{2}\times47\times92 = 47\times46=2162$ $m^{2}$.

Step2: Calculate rectangle area

The area formula for a rectangle is $A_{rectangle}=length\times width$. Here, the length is $54.2$ m and the width is $46.3$ m. So $A_{rectangle}=54.2\times46.3 = 2519.46$ $m^{2}$.

Step3: Compare areas

Since $2519.46>2162$, the rectangle has a greater area.

Answer:

The rectangle has a greater area.