Find the length of x in the trapezium, whose area is 100cm² height 10 base 8?

To find the length of x in the trapezium, we can use the formula for the area of a trapezium:

Area = (1/2) * (sum of the lengths of the bases) * height

Given that the area is 100 cm², the height is 10 cm, and the base lengths are 8 cm and x cm, we can plug in these values into the formula:

100 = (1/2) * (8 + x) * 10
100 = 5(8 + x)
100 = 40 + 5x
5x = 60
x = 12

Therefore, the length of x in the trapezium is 12 cm.

The answer is 12 cm.

Explanation:

Area of trapezium = 1/2 - (sum of parallel sides) - height

100 = 1/2 - (8 + x) - 10

100 = 1/2 - (8 + x) - 10

100 = (8 + x) - 5

100 = 40 + 5x

5x = 100 – 40

5x = 60

x = 60 / 5

x = 12 cm

Therefore, the length of x is 12 cm.