Question

The area of a trapezium is 1080 sq cm.If the lengths of its parallel sides are 55cm and 35cm . Find the height?

Answer 1

Answer:

24cm

Step-by-step explanation:

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

1080cm² = 1/2 (35cm+55cm)h

1080 = 1/2 (90)h

1080 = 45h

h =  1080/45

h =  24cm

Answer 2

Answer:

Height of a trapezium is $24$ cm .

Step-by-step explanation:

To find : Height of a trapezium .

Given : area of a trapezium is 1080 $cm^{2}$ .Lengths of its parallel sides are 55cm and 35cm .

Solution :

• As per given data we know that ,area of a trapezium is $1080$ $cm^{2}$ and l lengths of its parallel sides are $55$ cm and $35$ cm .We have to find it's height .
• Area of trapezium is given by following formula :

• Area of trapezium = $\frac{1}{2} \times ( sum \ of \ parallel \ sides )\times (height )$

                                $1080= \frac{1}{2}\times( 55 + 35) \times height \\\\1080= \frac{1}{2}\times(90 )\times height \\\\1080 = 45 \times height \\\\height = \frac{1080}{45}\\\\height = 24\ cm$