Question

D) Find the area of trapezium if its parallel sides are 5 cm and 18 cm (3)
and perpendicular distance between parallel sides is 10 cm
5cm
10cm
18cm
ENGLISH /VII
Page 5​

Answer 1

Answer:

Question

Find the area of trapezium if its parallel sides are 5 cm and 18 cm and perpendicular distance between parallel sides is 10 cm

Concept

~Here the concept of Mensuration is used. The length of parallel side is given as 5 cm and 18 cm. The height is 10cm. We have to simply subsitute the values in the area formula to get the desired result.

Solution

‣ Area of Trapezium is given as

${\underline{ \boxed{ \sf{Area \: of \: Trapezium = \frac{1}{2} \times {(sum \: of \: parallel \: sides)}×height}}}}$

$\sf{ \implies Area \:of\: Trapezium= \frac{1}{2}×(5+18)×10}\\\\ \sf{\implies Area\: of \:Trapezium=\frac{1}{2} ×23×10}$

$\sf{\implies \green{Area\: of \: Trapezium= 115 cm²}}$

➛ therefore the area of the trapezium is 115cm³

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Answer 2

Question :-

• Find the area of trapezium is it's parallel sides are 5 cm and 18 cm and perpendicular distance between parallel sides is 10 cm.

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Given :-

• Parallel sides of trapezium = 5 cm & 18cm
• Height = 10 cm

To find :-

• Area of trapezium

Formula to be used :-

• Area of trapezium = 1/2 × (a + b) h

Where,

• a & b are parallel sides of trapezium
• h is the height of trapezium

Solution :-

Substituting the values in formula :-

• Area = 1/2 × ( 5 + 18 ) × 10

• Area = 1/2 × ( 23) × 10

• Area= 1/2 × 230

• Area = 115 cm²

❇ Area of trapezium = 115 cm²