Question

the area of the parallelogram is 335 metre square if its altitude is twice the corresponding base determine the base and altitude​

Answer 1

Answer:

Base = 12.94 m  ;  Height = 25.88 m

Step-by-step explanation:

Given,

• Area of parallelogram = 335 m²
• Base of parallelogram = b
• Ht. of parallelogram    = 2b

⇒ Area of parallelogram = Base × Height

                                         = b × 2b

∴ 2b² = 335 m²

⇒ b²  = 167.5

∴ b     = 12.94 m

ANSWER → Base = 12.94 m  ;  Height = 25.88 m

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Answer 2

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

Area of llgm = 335m²

$\huge\underline\frak{To\;find:}$

Determine the base and altitude of llgm

$\huge\underline\frak{Note:}$

Area of llgm = base × altitude

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

Let the base be x then altitude be 2x

According to question

Area of llgm = 335

Base × Altitude = 335

➔x × 2x = 335

➔2x² = 335

➔x² = 335/2 = 167.5m

➔x = √167.5 = 12.94m

$\large{\sf{\boxed{Base\;of\;llgm=12.94m}}}$

$\large{\sf{\boxed{Altitude\;of\;llgm=2×12.94=25.88m}}}$