Question

which figure has a greater area? 33 cm 40.9 cm 79.5 cm 51.7 cm

Explanation:

Step1: Calculate parallelogram area

The area formula for a parallelogram is $A = base\times height$. Here, the base is $33$ cm and the height is $40.9$ cm. So $A_{1}=33\times40.9 = 1349.7$ $cm^{2}$.

Step2: Calculate triangle area

The area formula for a triangle is $A=\frac{1}{2}\times base\times height$. Here, the base is $79.5$ cm and the height is $51.7$ cm. So $A_{2}=\frac{1}{2}\times79.5\times51.7=\frac{79.5\times51.7}{2}= \frac{4110.15}{2}=2055.075$ $cm^{2}$.

Step3: Compare areas

Since $2055.075>1349.7$, the triangle has a greater area.

Answer:

The triangle has a greater area.