A trapezoid has an area of 27.5 square centimeters. What is the measure of the height if the bases measure 7 centimeters and 4 centimeters?

1 Answer
Shiva Prakash M V
Feb 16, 2018

#h=5#centimetres

Explanation:

If #b_1=7# represents the base 1 of trapezium
If #b_2=4# represents the base 1 of trapezium
If #h# represents the height of trapezium
If #A=27.5# represents the area of trapezium
The relation between them is

#A=h/2(b_1+b_2)#

Substituting the values

#27.5=h/2(7+4)#

#27.5=h/2(11)#

Multiplying by 2

#55=h(11)#

Simplifying fir h

#h=5#centimetres

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