Respuesta :

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