Question

the height of the trapezium of area 162cm² is 6cm. if one of the bases is 23 cm, find the other side

Answer 1

area=162cm^2
h=6cm
base1=23 cm
other base2 =?
area=1/2*h*(base1+base2)
162 =1/2*6*(23+x)
162=3(23+x)
162/3=(23+x)
54=23+x
54-23=x
31=x
other base is of 31 cm

Answer 2

Given area = 162 cm², height = 6cm and one of the parallel side = 23 cm

Formula:

Area of a trapezium = 1/2 ( a + b) h where a and b are the two parallel sides.

Define x:

Let the unknown side be x cm long.

Solve x:

1/2 ( 23 + x) (6) = 162

3( 23 + x) = 162

69 + 3x = 162

3x = 93

x = 31

Answer: The other side is 31 cm long.