Question

In a square PQRS, if PQ = (2x+3)cm and QR = (3x-5) cm then find X.

Answer 1

Answer:

X=8

Step-by-step explanation:

PQ=QR AS IT IS A SQUARE

2X+3=3X-5

3+5=3X-2X

X=8

SIDE OF SQUARE =19 CM

Answer 2

The value of x is 8.

Given:

• A square named PQRS.
• if PQ = (2x+3)cm and QR = (3x-5) cm.

To find:

• Find the value of x.

Solution:

Concept to be used:

According to the property of square, all sides are equal.

Step 1:

Equate PQ and QR.

Because PQRS is a square and all of its sides are equal.

$2x + 3 = 3x - 5$

or

$2x - 3x = - 5 - 3$

or

$- x = - 8$

or

$\bf x = 8$

Step 2:

Verify by putting value of x.

Calculate PQ:

$PQ = 2(8) + 3$

or

$\bf PQ = 19 \: cm$

Calculate QR:

$QR = 3(8) - 5$

or

$QR = 24 - 5$

or

$\bf QR = 19 \: cm$

Hence verified.

Thus,

Value of x is 8.

_____________________________

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