Question

find height of a trapezium whose area is 100 m² and sum of parallel side is 40​

Answer 1

Step-by-step explanation:

Answer

One of the parallel sides =24cm

Let the length of the other parallel sides be

′

x

′

cm

Also, area of the trapezium =480 cm

2

Distance between the parallel sides =8cm

∴ Area of a trapezium =

2

1

×(a+b)×h

∴480=

2

1

×(24+x)×8

⇒480=96+4x

⇒480−96=4x

⇒4x=384

⇒x=

4

384

=96cm

Thus the length of the other par

Answer 2

Note: let the sum of parallel sides be 40 m (As here unit is not mentioned)

Answer:

Hence, value of height of the trapezium will be 5 cm

Step-by-step explanation:

In context to question asked,

We have to determine the one parallel side of trapezium

As per question,

It is given that,

Area of trapezium = 100 sq. m.

Sum of parallel sides = 40 m

As we know that,

Area of trapezium

$A = \frac{a+b}{2}\times h\\Where,\:A = Area\\a,b = Parallel\:sides\:of\:trapezium\\h =Height$

So, for determining the value of height of trapezium,

We will put the value given in question in above formula,

Thus we will get,

$A = \frac{a+b}{2}\times h\\100= \frac{40}{2}\times h\\=>h = \frac{100}{20}\\=>h = 5\:m$