Question

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a math question

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the base and the height of a parallelogram are in the ratio 4 : 3 if area of the parallelogram is 192 square centimetre find the height and the base.

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Answer 1

$\huge\mathbb\purple {Hello \:mate}$

Here's your answer

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Let the ratio be 4x and 3x
area of parallelogram is given 192 square centimetre.

The area of a parallelogram => B × H
${192cm}^{2} = > 4x \times 3x \\ \\ {192cm}^{2} = > 12x \\ \\ x = > \frac{192}{12} \\ \\ = > {16cm}^{2}$
So,the answer is 16 cm square.

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Hope it helps you

Answer 2

let base be 4x and height be 3x:-

we know area of parallelogram is base × height

A.T.Q

BASE × HEIGHT = AREA

4X × 3X = 192

12X^2 = 192

X^2 = 192/12

X^2 = 16

X= root 16

X= 4

so base = 4 × X = 4×4=16
height = 3 × X = 3×4 = 12

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