Question

brainliest and 50 points
find the area of the polygon

A) 76.16m
B) 37.08m
C) 30.58
D) 19m
​

Answer 1

Answer:

38.08 m²

Step-by-step explanation:

Given:

• Height = 5.6 m

• Parallel side (1): 10.8 meters

• Parallel side (2): 2.8 meters

Formula:

$\text{Area of trapezium} = \dfrac{\text{Sum of parallel sides}}{2} \times \text{Height}$

Substitute the measures in the formula:

$\implies \text{Area of trapezium} = \dfrac{\text{Sum of parallel sides}}{2} \times \text{Height} \\\\\\ \implies \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ = \dfrac{\text{10.8 + 2.8}}{2} \times 5.6$

Simplify the equation as needed:

$\\\\\\\implies \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ = \dfrac{\text{13.6}}{2} \times 5.6 \\\\\\ \implies \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ = {\text{13.6}} \times 2.8 \\\\\\ \implies \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ = \boxed{38.08 \ \text{m}^{2}}$