Question

if area of trapezium is 120 square centimeter and its parallel side are 8cm and 7cm then its height is​

Answer 1

Answer:

• h = 16 cm

Step-by-step explanation:

• A = a + b (h)

A = a + b (h) 2

• 120 cm² = 8 cm + 7 cm (h)

2

• 120 cm² = 15 cm (h)

2

• 120 cm² = 7.5 cm (h)

7.5 cm 7.5 cm

• h = 16 cm

I hope it helps :).

Answer 2

Answer :

• Height of Trapezium is 16 cm.

$\underline{\frak{ \qquad Given : \qquad}}$

The area of trapezium is 120 square centimeter and its parallel side are 8cm and 7cm.

$\underline{\frak{ \qquad To\:Find : \qquad}}$

• Height of trapezium = ?

$\underline{\frak{ \qquad Solution : \qquad}}$

• The area of trapezium = 120 cm²
• Parallel sides of trapezium = 8 cm and 7 cm
• Height of trapezium = ?

$\large\bigstar\:\displaystyle{ \underline{\textsf{According to Question now :}}}$

$:\implies \sf Area \: of \: trapezium = \dfrac{1}{2} \times Sum \: of \: parallel \: sides \times Height$

$:\implies \sf 120 \: {cm}^{2} = \dfrac{1}{2} \times (8 + 7) \times Height$

$:\implies \sf 120 = \dfrac{1}{2} \times 15\times Height$

$:\implies \sf 120 = 7.5\times Height$

$:\implies \sf Height =\dfrac{120}{7.5}$

$:\implies \underline{\boxed{\sf Height =16 \: cm}}$

$\therefore\:\underline{\textsf{The Height of trapezium is \textbf{16 cm}}}.$

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$\underline{\frak{ \qquad Verification : \qquad}}$

$\dashrightarrow\:\: \sf 120 = \dfrac{1}{2} \times (8 + 7) \times 16$

$\dashrightarrow\:\: \sf 120 = \dfrac{1}{2} \times 15 \times 16$

$\dashrightarrow\:\:\sf 120 = 7.5 \times 16$

$\dashrightarrow\:\: \underline{\boxed{\sf 120 = 120 }}$

$\huge\bigstar\:\underline{\frak{ \qquad Hence\: Verified \qquad}}\: \bigstar$

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