Question

The two parallel sides of a trapezium are 19.8 and 7.2 and its area is 135 cm²..find its height

Answer 1

Answer:

10cm

Step-by-step explanation:

the formula for an area of a trapezium:

$\frac{(a + b) \times h}{2} = area$

where a and b are the parallel sides and h is the height. equating what we have:

$\frac{(19.8 + 7.2) \times h}{2} = 135$

simplify the numerator by adding 19.8 and 7.2=27

$\frac{27h}{2} = 135$

multiply both sides by 2

$27h = 270$

divide both sides by 27

$h = \frac{270}{27} = 10$

the height is 10cm