Question

In square ABCD, IF AB = (5x + 4) cm, BC = (7x - 10)cm.
Find the value of x and length of AD.
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Answer 1

$\sf \large \red{\underline{ Question:-}}$

• In square ABCD, IF AB = (5x + 4) cm, BC = (7x - 10)cm.Find the value of x and length of AD.

$\\\\\sf \large \red{\underline{Given:-}}$

• $\sf \: AB = (5x + 4) cm,$

• $\sf \: BC = (7x - 10)cm.$

$\\\\\sf \large \red{\underline{To \: Find:-}}$

• $\sf Find \: the \: value \: of \: x \: and \: length \: of \: AD.$

$\\\\\sf \large \red{\underline{Solution :- }}$

$\sf \: In \: square \: ABCD, \\ \\ \sf \to \: AB = BC = CD = DA \\ \\ \sf \green {then} \\ \\ \sf \to \: 5x + 4 = 7x - 10 \\ \\ \sf \to \: 2x = 14 \\ \\ </p><p> \text{ \underline{ \sf\orange{on transposing we get : }}} \\ \\ \sf \to \: 5x - 7x = - 10 - 4 \\ \\ \sf \to \: - 2x = - 14x \\ \\ \sf \to \cancel{ - }2x = \cancel{ - }14 \\ \\ \sf \to\sf \to \: x = \frac{14}{2} \\ \\ \sf \to \: x \: = \frac{ \cancel{14}}{ \cancel{2}} \\ \\ \bf \to \purple{x \: = 7} \\ \\ \sf \to \: AB= 5x + 4 \\ \\ </p><p> \sf \to \: AB= 5 x 7 + 4 \\ \\ </p><p> \sf \to AB = 35 + 4 \\ \\ </p><p> \sf \to AB= 39 \\ \underline{ \blue{ \sf \: we \: know :AB = BC = CD = DA }} \\ \\ \sf \to \: AB =AD \\ \\ \sf \to \pink{AD \: = 39}</p><p>$

Answer 2

Answer:

Thanks for this question