Question

Q – 5 Solve the following (10)
(1) The area of a trapezium is 34 cm2 and its height is 4cm. One of the parallel sides of the trapezium is 10 cm, find the other parallel side.​

Answer 1

Answer:

Another parallel side of the trapezium = 7cm

Explanation:

In a trapezium,

• Area = 34cm²
• height = 4cm
• One of the parallel side = 10cm

We know,

Area of a trapezium :-

→ ½(a + b)h

Where, a and b are the parallel sides and h is the height.

According to the question,

→ 34 = ½(10 + b)4

→ 34 = (10 + b)2

→ 34 = 20 + 2b

→ 34 - 20 = 2b

→ 14 = 2b

→ 14/2 = b

→ 7 = b

∴ Another parallel side of the trapezium is 7cm

_____________________

Formula used :

Area of a trapezium = ½(a + b)h

Where, a and b are the parallel sides and h is the height.

Answer 2

Answer:

$\underline{\purple{\ddot{\Maths dude}}}$

◇◇Given:-

• Area= 34cm^2
• Height 4cm
• One parallel side of trapezium =10cm

◇◇To prove :-

• Other parallel side of trapezium

◇◇Proof:-

• We know the formula of area of trapezium that is ,

Area of trapezium =1/2 (m+n)

◇◇(((Let here m and n be the two parallel sides of the trapezium ))

• Applying the values

◇◇We get,

• 34= 1/2 (10+n)4
• 34=(10+n)2
• 34=20+2n
• 34-20= 2n
• 14 = 2n
• 14/2 = n
• n = 7

Therefore, other parallel sides of the trapezium is 7 cm.

◇◇Hope it helps u mate.

◇◇Thank you.