Question

the area of a trapezium is sq cm its height is 8cm one of the parallel side is 6cm bigger than the other find the measure of the parallel sides

Answer 1

Answer:

15cm

Step-by-step explanation:

Let one side be X cm

and other is (x+6) cm.

area of trapezium=1/2× x+(x+6)×8

96=4×(2x+6)

96=8x+2x

8x=96-24

x=72/8

x=9.

hence longer side =x+6

=9+6=15cm

Answer 2

Answer:

One of the parallel side is 18 cm and other side is 24 cm.

Step-by-step explanation:

Let one parallel side be ' x ' cm then, other will be ' x + 6 ' cm.

We know,

Area of trapezium = \frac{1}{2}

2

1

×( sum of parallel sides ) × height

According to question

\frac{1}{2}

2

1

( x + x + 6 ) × 8 = 168

⇒ ( 2x + 6 ) × 4 = 168

⇒ 2x + 6 = \frac{168}{4}

4

168

⇒ 2x + 6 = 42

⇒ 2x = 42 - 6

⇒ 2x = 36

⇒ x= \frac{36}{2}

2

36

∴ x = 18

Now,

Other side will be 18 + 6 = 24 cm

Answer: One of the parallel side is 18 cm and other side is 24 cm.