The-diagonal-of-a-rectangualar-field-is-169m-If-the-ratio-of-the-lengh-to-the-width-is-12-5-find-its-dimensions-

Question Number 173321 by pete last updated on 09/Jul/22

The diagonal of a rectangualar field is 169 m .

If the ratio of the lengh to the width is

12 : 5, find its dimensions .

Answered by Rasheed.Sindhi last updated on 09/Jul/22

L e n g t h : 12 k, W i d t h : 5 k

D = \sqrt{{(12 k)}^{2} + {(5 k)}^{2}} = 169

144 k^{2} + 25 k^{2} = {(169)}^{2}

169 k^{2} = 169^{2}

k^{2} = 169

k = 13

L e n g t h : 12 k = 12 \times 13 = 156

W i d t h : 5 k = 5 \times 13 = 65

Commented by pete last updated on 09/Jul/22

thanks sir

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