Following are the steps of construction of a rectangle ABCD whose adjacent sides are of lengths 5 cm and 3.5 cm. Arrange them and select the CORRECT option.
(P) Draw a line segment BC of length 5 cm.
(Q) With A as centre, draw an arc of radius 5 cm.
(R) Draw an `angleXBC = 90^(@)` at point B of line segment BC
(S) Cut a line segment AB = 3.5 cm on `bar(BX)`
(T) With C as centre, draw an arc of radius 3.5 cm which intersects the arc at D.
(U) Join AD and CD.

Options

A. `(P) rarr (S) rarr (Q) rarr (R) rarr (U) rarr (T)`
B. `(P) rarr (R) rarr (S) rarr (Q) rarr (T) rarr (U)`
C. `(P) rarr (S) rarr (R) rarr (Q) rarr (T) rarr (U)`
D. `(P) rarr (Q) rarr (R) rarr (S) rarr (U) rarr (T)`

Answer

To construct a rectangle ABCD with adjacent sides of lengths 5 cm and 3.5 cm, follow these steps in the correct order:

### Step-by-Step Solution:

1. **Draw a line segment BC of length 5 cm.**
- Start by drawing a horizontal line segment BC that measures 5 cm.

2. **Draw an angle XBC = 90° at point B of line segment BC.**
- Use a protractor to measure a right angle (90°) at point B. Draw a line segment BX perpendicular to BC.

3. **Cut a line segment AB = 3.5 cm on line BX.**
- Using a ruler, measure 3.5 cm along the line BX from point B and mark this point as A.

4. **With A as center, draw an arc of radius 5 cm.**
- Place the compass pointer on point A and set the compass width to 5 cm. Draw an arc above and below the line segment BX.

5. **With C as center, draw an arc of radius 3.5 cm which intersects the arc at D.**
- Place the compass pointer on point C (the endpoint of line segment BC). Set the compass to 3.5 cm and draw an arc that intersects the arc drawn from point A. Mark the intersection point as D.

6. **Join AD and CD.**
- Finally, use a ruler to draw line segments AD and CD to complete the rectangle ABCD.

### Final Arrangement of Steps:
The correct order of the steps is:
- (P) Draw a line segment BC of length 5 cm.
- (R) Draw an angle XBC = 90° at point B of line segment BC.
- (S) Cut a line segment AB = 3.5 cm on line BX.
- (Q) With A as center, draw an arc of radius 5 cm.
- (T) With C as center, draw an arc of radius 3.5 cm which intersects the arc at D.
- (U) Join AD and CD.