Question

the area of the trapezium is 180 square centimetre and its height is 9 CM one of its parallel side is longer than the other by 4 cm find the length of the parallel sides​

Answer 1

Answer:

The rule for a trapezoid's area is its height times half of the added bases, or:

A = H(side1 +side2)/2

Essentially a modification of a rectangle's area.

If we plug in what we know into the equation, we have:

180cm2 = 18cm(5cm + X)/2

If we divide both sides by the 18cm, we get:

10cm = (5cm + X)/2

Now we get rid of the two by multiplying both sides by it, giving us:

20cm = 5cm + X

By moving the 5 cm from one side of the equation to the other with subtraction, we get our final answer of:

15cm = X

hope it works