ashnachatrathi
ashnachatrathi ashnachatrathi
  • 28-05-2020
  • Mathematics
contestada

The area of trapezoid is 120 sq inches. It two parallel sides are 6 inches and 14 inches respectively. What is the height? (with explanation)

Respuesta :

jimrgrant1 jimrgrant1
  • 28-05-2020

Answer:

height = 12 cm

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = [tex]\frac{1}{2}[/tex] h(a + b)

where h is the height and a, b the parallel bases.

Here A = 120, a = 6 and b = 14 , thus

[tex]\frac{1}{2}[/tex] h (6 + 14) = 120

[tex]\frac{1}{2}[/tex] h × 20 = 120

10h = 120 ( divide both sides by 10 )

h = 12 cm

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