Question

which figure has a greater area? 5 cm 4 cm 8 cm 5 cm 10 cm

Explanation:

Step1: Calculate trapezoid area

Use formula $A=\frac{(a + b)h}{2}$, where $a = 5$, $b=8$, $h = 4$. So $A_{1}=\frac{(5 + 8)\times4}{2}=\frac{13\times4}{2}=26$ $cm^{2}$.

Step2: Calculate triangle area

Use formula $A=\frac{1}{2}bh$, where $b = 10$, $h = 5$. So $A_{2}=\frac{1}{2}\times10\times5=25$ $cm^{2}$.

Step3: Compare areas

Since $26>25$, the trapezoid has a greater area.

Answer:

The trapezoid has a greater area.