Question

Find the area of a trapezium whose parallel sides are 25 cm and 13 cm long. The distance between them is 8 cm.​

Answer 1

Answer:

The area of the Trapezium is 152 cm ².

Step-by-step explanation:

Given :

Parallel sides = 25 cm and 13 cm

Height = 8 cm

To find :

The area

Solution :

Area of the Trapezium =

⇒ 1/2 × (Sum of parallel sides) × Height

⇒ 1/2 × (25 + 13) × 8

⇒ 1/2 × 38 × 8

⇒ 1 × 38 × 4

⇒ 152 cm²

Therefore, the area of the Trapezium is 152 cm ².

Answer 2

Aɴꜱᴡᴇʀ

☞ Area of the trapezium= 128 cm²

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Gɪᴠᴇɴ

➤ Parallel sides are of the size 25 cm and 13 cm

➤ Distance between them[ height (h)] is 8 cm

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ᴛᴏ ꜰɪɴᴅ

➠ The area of the given trapezium?

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Sᴛᴇᴘꜱ

✭ The area of a trapezium is given by,

$\large { \underline{\boxed{ \sf{\frac{1}{2} \times( sum \: of \: parallel \: sides)height} }}}$

❍ So substituting the given values,

$\large \tt \dashrightarrow\frac{1}{2} (25 + 13)8 \\ \\ \large \tt \dashrightarrow{} \frac{1}{ \cancel2} ( \cancel{38}) 8 \\ \\ \large \tt \dashrightarrow{}16 \times 8 \\ \\ \large \tt \pink{ \dashrightarrow128 \: c{m}^{2} }$

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