Find the value of x.

F) 6m
G) 7.5m
H) 15m
I) 21m

x = 6 m

Step-by-step explanation:

The area (A) of a trapezium is calculated as

A = h (a + b)

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

Here A = 60, h = 8, a = 9 and b = x , thus

× 8 × (9 + x) = 60, that is

4(9 + x) = 60 ( divide both sides by 4 )

9 + x = 15 ( subtract 9 from both sides )

x = 6 m

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)