Question

the area of a trapezium is 34cm², the length of one of the parellel side is 10cm and its height is 4cm. Find the length of the other parallel side​​

Answer 1

Answer:

7cm.

Explanation :

Let's suppose the other parallel side is ‘a’ units.

We know that,

Area of a trapezium :

→ ½• sum of the parallel sides • height

Where,

• Area of the trapezium = 34cm²
• sum of the parallel sides = (a + 10cm)
• height = 4cm.

So, we can say that

→ 34 = ½ • (a + 10) • 4

Solving for ‘a' :

→ 34 = (a + 10) • 2

→ 34/2 = (a + 10)

→ 17 = a + 10

→ 17 - 10 = a

→ 7 = a

The value of ‘a’ is 7 units.

Therefore, the length of the other parallel side is 7cm.

_____________________

Answer 2

Given

• Area of trapezium = 34 cm²

• Length of one parallel side = 10 cm

• Height, h = 4 cm

Let

• The length of other parallel side be 'x'.

We know,

$\bigstar \: \rm Area_{(trapezium)} \: = \dfrac{1}{2} (sum \: of \: parallel \: sides) \times height$

On substituting the values, we get

$\rm :\implies\:34 = \dfrac{1}{2} (10 + x) \times 4$

$\rm :\implies\:34 = 2(10 + x)$

$\rm :\implies\:17 = 10 + x$

$\boxed{ \pink{\rm :\implies\:x \: = \: 7}}$