Question

In a square ABCD. AB= (2x+3) cm and BC
= (3x - 5) cm. Then, the value of x is
(a) 5
(b) 7
(c) 8
(d) 10​

Answer 1

Answer:

8

for square

3x-5= 2x+3

3x-2x= 3+5

x= 8

Answer 2

___________________________________

Given:

• $\sf{A\:square\:ABCD}$
• $\sf{AB= (2x+3)}$
• $\sf{BC= (3x-5)}$

To find:

• The value of $\bold{x}$

Solution:

As we know all sides of a square are equal, we can form a equation to find the value of $\bold{x}$.

$\large{\underline{\boxed{\sf{\red{(3x-5)=(2x+3)}}}}}$

$\sf\implies 3x-2x=3+5$

$\sf\implies x=8$

• $\large{\boxed{\sf{\green{x=8}}}}$

Verification:

To verify, insert 8 in places of x in the expression formed.

$\sf\implies (2 \times 8 + 3) = (3 \times 8 - 5)$

$\sf\implies (16 + 3) = (24 - 5)$

$\sf\implies 19 = 19$

$\bold{\implies L.H.S = R.H.S}$

• $\large{\underline{\underline{\tt{\blue{Hence,\: verified\:!}}}}}$

Final Answer:

• The value of $\bold x$ is $\normalsize{\boxed{\bold{\red{8}}}}$
• Option - c

___________________________________