Question

In a rectangle PQRS, PR=4x+20 and QS=32. Find the value of x.

Answer 1

PR and QS are diagonals.

Diagonals in a rectangle are equal.

4x+20=32

Therefore, answer is 3

Answer 2

Concept:

The opposite sides of a rectangle are equal to each.

Given:

In a rectangle PQRS, PR = 4x+20 and QS = 32

Find:

The value of x.

Solution:

In a rectangle PQRS,

PR = 4x+20

QS = 32

So clearly PR and QS are opposite sides of the given rectangle.

So by the property of rectangle,

PR = QS

4x+20 = 32

4x = 32-20

4x = 12

x = 12/4

x = 3

Hence the value of x is 3.

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