Question

The area of a trapezium is 1440 cm². If the lengths of its parallel sides are 54.6cm and 35.4cm, find the height.​

Answer 1

Answer:

32 cm

Step-by-step explanation:

Area of trapezium = 1/2×hight (sum of the length of the parallel sides.)

1440=1/2×hight(54.6+35.4)

1440=1/2×hight(90)

1440=hight×45

1440/45=hight

32cm=hight

Distance between the parallel lines is 32cm.

Step-by-step explanation:

Answer 2

Given:

The area of a trapezium is 1440 cm². If the lengths of its parallel sides are 54.6cm and 35.4cm.

To Find:

the height?

Step-by-step explanation:

• We know the area of trapezium is given by the formula

                [tex]Area of trapezium=\frac{1}{2} h(\textrm{Sum of parallel sides})\\ [/tex]

• We have area=1440, length of parallel sides=54.6,35,4

                [tex]Area of trapezium=\frac{1}{2} h(54.6+35.4)\\ 1440=\frac{1}{2} h90\\ h=32cm[/tex]

Hence, height is 32cm.