Answer:
The Area of Trapezoid is 91 square cm .
Step-by-step explanation:
Given as :
The altitude of Trapezoid = h = 14 cm
The measure of parallel sides = [tex]b_1[/tex] = 5 cm
And [tex]b_2[/tex] = 8 cm
Let The Area of Trapezoid = A square cm
Now, According to question
Area of Trapezoid = [tex]\dfrac{1}{2}[/tex] × (sum of parallel side) × altitude
Or, A = [tex]\dfrac{1}{2}[/tex] × ( [tex]b_1[/tex] + [tex]b_2[/tex] ) × h
Or, A = [tex]\dfrac{1}{2}[/tex] × ( 5 cm + 8 cm ) × 14 cm
Or, A = [tex]\dfrac{1}{2}[/tex] × 13 cm × 14 cm
Or, A = [tex]\frac{13\times 14}{2}[/tex]
∴ A = 91 cm²
So, The Area of Trapezoid = A = 91 square cm
Hence, The Area of Trapezoid is 91 square cm . Answer