Question

2.644
2.64
2.649
2.641
2.645
2.6444
2.645
Fig. 5
2.644
2.6449
2.6441
2.6445
2.6445
Fig. 6
2.6444
2.64444
EXERCISE 1.4
1. Visualise 2.365 on the number line, using successive magnification.
2. Visualise - 4.126 on the number line, using successive magnification.
3. Represent 3.42 on the number line, using successive magnification, up to 4 decimal places.
4. Represent 5.49 on the number line, using successive magnification, up to 4 decimal places
REMEMBER
* Operations on real numbers : The
(3 + 5) + (3-5) = 6: which is a rationa
number.
difference, product and quotient of any two
irrational numbers may or may not be an
Irrational number. These results can also be
Also, (3 + V5) (3 - 5)
= (3) ² - 1 √5)²
rational numbers.
c.g.
=9-5​

Answer 1

Answer:

Let the length of the rectangle be x units and the breadth be y units.

Area of the rectangle=length×breadth

=x×y=xy sq. units

From the given information, we have,

(x+2)×(y−2)=xy−28

and(x−1)×(y+2)=xy+33

(x+2)×(y−2)=xy−28

=>xy−2x+2y−4=xy−28

=>−2x+2y=−24

=>−x+y=−12

=>x=y+12....(i)

Also,(x−1)×(y+2)=xy+33

=>xy+2x−y−2=xy+33

=>2x−y=35....(ii)

Substituting equation (i) in equation (ii), we get,

2x−y=35

=>2(y+12)−y=35

=>2y+24−y=35

=>y=11

Substituting y=11 in equation (i), we get,

x=y+12

=>x=11+12

=>x=23

Therefore, length of rectangle =x=23 units

and breadth of rectangle =y=11 units

Area of rectangle =xy=23×11=253 square units