Question

the base of the parallelogram is twice its height. if its area is 512 CM square find the base and the height

Answer 1

hope it will help you

Answer 2

$\huge\bf{\underline{\purple{Solution:-}}}$

Let the height of a parallelogram be y cm.

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$\bf\underline{\red{\:\:\:\:\:\:\:\:Therefore:-\:\:\:\:\:\:\:}}$

• Base of parallelogram will be 2y cm.

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$\bf\underline{\red{\:\:\:\:\:\:\:\:Then:-\:\:\:\:\:\:\:}}$

$\bullet\;\;\underline{\textbf{\textsf{Area of parallelogram = Base × Height}}}$

$\sf {\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\: 512\:cm^2 = y \times 2y }$

$\sf {\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:x^2 = \cancel\dfrac{512}{2}}$

$\sf {\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:x^2 = 256\:cm^2}$

$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:{\underline{\boxed{\sf{x = 16\:Cm}}}}$

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$\bf\underline{\red{\:\:\:\:\:\:\:\:Therefore:-\:\:\:\:\:\:\:}}$

• $\sf\underline{\purple{\:\:\: Height = 16\:Cm \:\:\:}}$
• $\sf\underline{\purple{\:\:\: Base = 2 \times 16 = 32\:Cm\:\:\:}}$

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