Question

The area of trapezium is 870 square if one of its parallel sides is 30 cm and height is 20 CM then find the other parallel side

Answer 1

Question:-

The area of trapezium is 870 cm² if one of its parallel sides is 30 cm and height is 20 cm then find the other parallel side

Answer:-

• The length of another parallel side is 57 cm.

Solution:-

• Area of trapezium = 870 cm²
• One parallel side = 30 cm
• Height = 20 cm
• Let the second parallel side x

$\purple{ \underline{ \underline{ \large{ \orange{ \mathfrak{area = \frac{sum \: of \: parallel \: sides}{2} \times h}}}}}}$

$\large{ \tt : \implies \: \: \: \: \frac{30 + x}{2} \times 20 = 870}$

$\large{ \tt : \implies \: \: \: \: \frac{30 + x}{2} = \frac{870}{20} }$

$\large{ \tt : \implies \: \: \: \:30 + x = \frac{870}{20} \times 2}$

$\large{ \tt : \implies \: \: \: \:30 + x = 87}$

$\large{ \tt : \implies \: \: \: \:x = 87 - 30}$

$\large{ \tt : \implies \: \: \: \:x = 57}$

• The length of another parallel side is 57 cm.

Answer 2

Given :

⬤ Area of Trapezium = 870 cm²

⬤ One Parallel Side = 30 cm

⬤ Height of Trapezium = 20 cm

To Find :

⬤ Other Parallel Side .

Formula Used :

$\small\sf[\:{Area\:of\:Trapezium=\dfrac{1}{2}\times{(Sum\:of\:Parallel\:Side)}\times{h}\:]}$

Solution :

Area = 870 cm²

Height = 20 cm

One Padallel Side = 30 cm

Let :

• Another Parallel Side be x .

Now :

According to the Formula :

870 = 1/2 × (30 + x) × 20

870 = (30 + x ) × 10

870 = 300 + 10x

870 - 300 = 10x

570 = 10x

x = 570/10

x = 57

Therefore , The Another Parallel Side of Trapezium is 57 cm .

Check :

870 = 1/2 × (30 + x) × 20

870 = 1/2 × (30 + 57) × 20

870 = 87 × 10

870 = 870

Hence Checked .