Question

A trapezoid has an area of 21.4 m, the shorter base is 4.6 m and the longer base is 6.1 m. What is the height of trapezoid?

A. 10 M
B. 6 M
C. 4 M
D 4.5 M

Answer 1

Answer: 4 meters (choice C)

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Step-by-step explanation:

h = height of trapezoid (in meters)

b1 and b2 are the parallel bases, which are b1 = 4.6 and b2 = 6.1

A = 21.4 is the area of the trapezoid

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Plug those values into the area formula of a trapezoid. Isolate h

A = h*(b1+b2)/2

21.4 = h*(4.6+6.1)/2

21.4 = h*(10.7/2)

21.4 = h*(5.35)

21.4 = 5.35h

5.35h = 21.4

h = 21.4/5.35 ...... divide both sides 5.35

h = 4

The height is 4 meters

Answer 2

Answer:C

Step-by-step explanation:

The answer is c because the equation for solving area if a trapezoid is b+b x h /2. So 4.6 + 6.1 = 10.7. And 21.4 x 2 = 42.8. Now we just need to find what 10.7 multiplies with to get 42.8. A easy way of doing this is 42.8/10.7 = 4.