Question

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

Answer 1

Answer:

height = 16 cm

base = 48 cm

Step-by-step explanation:

let

height = x

base = 3x

according to the question is

b * h = 768

=> x * 3x = 768

=> 3x² = 768

=> x² = 768/3 = 256

=> x = √256 = 16

height = x = 16 cm

base = 3x = 3 * 16 = 48 cm

Answer 2

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

Step-by-step explanation:

$Let \ the \ base \ of \ parallelogram \ be \ "x".\\And,the \ height \ of \ parallelogram \ be \ "3x".\\Area=768\ cm^2\\\\As \ we \ know,\\\\The \ Area \ of \ parallelogram \ be,\\A=base\times height\\\\On \ putting \ the \ values \ in \ the \ above \ formula,we \ get\\\\768=3x\times x\\\\768=3x^2\\\\x^2=\frac{768}{3}\\ \\x^2=256\\\\x=\sqrt{256}\\ \\x=16\\\\Now,\\Height \ of \ parallelogram=16 \ cm\\Base \ of \ parallelogram=3\times 16=48 \ cm$

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