Question

the base of a parallelogram is thrice its height if its area is 768 CM square find the base and the length of the parallelogram

Answer 1

✿ Solution ✿

Let's assume the height as x cm

So, the base as 3x cm

∵ Area of ||gm = (Base × Height)

According to Question,

Area of parallelogram = 768 cm²

(3x × x) = 768

⇒ 3x² = 768

⇒ x² = 768 / 3

⇒ x² = 256

⇒ x = √256

⇒ x = 16

❈ Required Measurements ❈

✦ Height = x = 16 cm

✦ Base = 3x = 3(16) = 48 cm

Hence, the base and height of the parallelogram are 48 cm and 16 cm respectively

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Answer 2

The height of parallelogram is "16 cm" and base is "48 cm".

Step-by-step explanation:

$Let \ the \ height \ of \ parallelogram \ be \ "x".\\The \ base \ of \ parallelogram \ be \ "3x".\\The \ Area,A=786 \ cm^2\\\\As \ we \ know,\\\\The \ Area \ of \ parallelogram,\\A=base\times height\\\\On \ putting \ the \ values \ in \ the \ above \ formula,we \ get\\\\786=3x\times x\\\\786=3x^2\\\\x^2=\frac{786}{3}\\ \\x^2=256\\\\x=\sqrt{256}\\ \\x=16\\\\Now,\\Height=16 \ cm\\Base=3\times 16=48 \ cm$

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