Question

The area of trepiezem is 40cm. The parallel side are 12 cm and 8 cm the difference between the parallel side is
1cm,
2cm,
3cm,
4am​

Answer 1

Answer:

4cm

Step-by-step explanation:

12-8=4. this is correct

Answer 2

Answer:

This looks like a math homework question. I will solve your initial problem but using the sides 4, 8 and Area 30 instead.

Area formula for a trapezium (a.k.a trapezoid):

A=b1+b22h

Where A is the total area, b1 and b2 are the parallell sides of the trapezoid, and h is the height of the trapezoid. And we want to know what? Right, the height, or h . So, let’s rewrite the formula:

A=b1+b22h

2A=(b1+b2)h

2Ab1+b2=h

Now let us look at what is known:

A=30

b1=4

b2=8

Finally, insert the numbers:

2⋅304+8=6012=5

Answer: h=5

There you go. Everything you need to solve your particular problem. Now solve it! :)

Let the parallel sides of trapezium be 'a' and 'b' and the distance between them i.e. the height of trapezium be 'h'.

Therefore area of trapezium is given by

=1/2 *(sum of parallel side)*(distance between parallel side i.e. height of trapezium) ……(1)

Now take 'a'=12 & 'b'=8 …. (Sides are given)

Therefore,

Sum of parallel sides=a+b=12+8…. (2)

Sum of parallel side=20cm

Area=60 cm^2 …..(given) …..(3)

Putting (2) & (3) in (1) we get,

60=1/2 * 20*h

h=60/10

h=6cm

Therefore height of trapezium is 6cm