Question

in a parallelogram height and base are in the ratio 3:4. area is 432 sq.cm then it's height is. __
(A)12cm
(B)18cm
(C)26cm
(D)24cm​

Answer 1

Step-by-step explanation:

$\large{\blue{given:}} \\ parallelogram \: height \: and \: base \: are \: in \: the \: ratio \: 3:4. \\ area \: of \: parallelogram = 432 sq.cm \\ \large{\blue{To find:}} \\ height \: of \: parallelogram = h \\ \large{\blue{Finding:}} \\ \: let \: height \: of \: parallelogram \: (h) = 3x \\ base \: of \: parallelogram \: (b) = 4x \\ area \: of \: parallelogram = 432 sq.cm \\ b \times h = 432 \\ 3x \times 4x = 432 \\ 12 {x}^{2} = 432 \\ {x}^{2} = \frac{432}{12} \\ {x }^{2} = 36 \\ x = \sqrt{36} \\ x = 6cm \\ height \: of \: parallelogram \: (h) \\ = 3x \\ = 3 \times 6 \\ = 18cm \\ base \: of \: parallelogram \: (b) \\ = 4x \\ = 4 \times 6 \\ = 24cm</p><p>$

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