monicanaranjo2005 monicanaranjo2005
  • 11-05-2020
  • Mathematics
contestada

The area of a trapezoid is 20ft2. The sum of its two bases is 10 ft. What is the height of the trapezoid?

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danilobabaglio
danilobabaglio danilobabaglio
  • 11-05-2020

Answer:

The height of the trapezoid is 4ft

Step-by-step explanation:

First of all, to solve this problem we need to use the area formula of a trapezoid:

A = area = 20ft²

b1 = base 1

b2 = b2

h = height

b1 + b2 = 10ft

A = ½ (b1+b2) * h

we replace with the known values

20ft² = ½ (10ft) * h

20ft² = 5ft * h

20ft² / 5ft = h

4ft = h

The height of the trapezoid is 4ft

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