Question

the area of a parallelogram is 338 square metre. if its altitude is twice the corresponding base determine the base and the altitude

Answer 1

area of ||gm = 338 m2

area of ||gm = b*h

base= x

altitude = 2x

x*2x= 338

x=13m

Answer 2

$\huge\sf\pink{Answer}$

☞ Height = 26 m

☞ Base = 13 m

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$\huge\sf\blue{Given}$

✭ Area of a parallelogram is 338 metre².

✭ Its attitude is twice the corresponding base.

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$\huge\sf\gray{To \:Find}$

◈ What is the base and altitude of the Parallelogram?

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$\huge\sf\purple{Steps}$

◕ Let the base of the parallelogram be b m and the height be h m

$\bullet\underline{\textsf{\: As Per the Question}}$

➝ $\sf{ h = 2b\qquad -eq(1)}$

Area of a parallelogram is given by,

$\underline{\boxed{\sf { Area = Base \times Height }}}$

Put the value of h from eq(1)

➢ $\sf{ 338 = b \times 2b}$

➢ $\sf{ 338 = 2b^2}$

➢ $\sf{\dfrac{338}{2} = b^2}$

➢ $\sf{169 = b^2}$

➢ $\sf{\sqrt{169} = b}$

➢ $\sf{\green{b = 13 \: m }}$

Put the value of b in eq(1)

➳ $\sf{ h = 2 \times 13}$

➳ $\sf{\orange{ h = 26 \: m}}$

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