Question

the area of trapezium is 36 sq. cm and the length of one of the parallel sides is cm and its height is 4 cm.find the other parallel sides? have 2 marks​

Answer 1

Answer:

measure of 1st parallel side is 4.5 cm

measure of 2nd parallel side is also 4.5 cm

Step-by-step explanation:

Here, we have to find parallel side, we know that to find the area of trapezium, we will used the formula-

Area of trapezium=½(Sum of parallel sides)×Height

But here, area of trapezium is given which is 36 cm² and

height is given which Is 4 cm. But parallel sides are not given.

So, to find parallel sides, we will take parallels sides as x.

Now, by the help of formula to find area of trapezium, we will used that and would able to find parallel sides

Formula to find area of trapezium is-

Area of trapezium=½×(Sum of all sides)×height

Here, area of trapezium is given 36 cm² , height is given 4 cm and we have taken parallel sides as x.

So, now equation can be-

Area of trapezium=½×(Sum of all sides)×height

36 cm² = ½×(x+x)×4 cm

36 cm² = ½×(2x)×4 cm

36 cm²= 2x×2 cm (when we will divide it)

36cm²/2cm= 2x

18 cm = 2x

(cm and cm will cut)

18 cm/2 = x

9 cm =x

.So, we got 2 parallel sides as x which is 9 cm. So, to measure 1 parallel sides, we will used the formula-

x/2 = 9cm/2 = 4.5 cm

So, measure of 1st parallel side is 4.5 cm and measure of 2nd parallel side is also 4.5 cm

.