Question

a pair of adjacent sides of a are in ratio 4 is to 3 if its diagonals is 20 cm find the length of the sides of the perimeter

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Answer 1

Answer:

$let \: ratio \: be \: x$

$b = 3x$

$l = 4x$

$in \: triangle \: abc$

$angle \: b = 90$

$so \: ab = 4x$

$bc \: = x$

$ac = 20$

${h}^{2} = {p}^{2} = {b}^{2}$

${ac}^{2} = {ab}^{2} + {bc}^{2}$

${20}^{2} = {4x}^{2} + {3x}^{2}$

$400 = 16 {x}^{2} + 9 {x}^{2}$

$400 = 25 {x}^{2}$

$\frac{400}{25} = {x}^{2}$

$16 = {x}^{2}$

$x = 4$

$b = 3x = 3 \times 4 = 12cm$

$l = 4x = 4 \times 4 = 16cm$

$area = l \times b = 12 \times 16 = 192cm$

$p = 2(l + b) = 2(12 + 16) = 56cm$

Explanation:

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Answer 2

Explanation:

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