Step-by-step explanation:

The length and breadth are 14 cm and 10 cm

Step-by-step explanation:

Given that the length of a rectangle exceeds its breadth by 4 cm .if length and breadth are each is increased by 3 cm , the area of the new rectangle is 81 square cm more than the given rectangle.

we have to find the length and breadth of rectangle.

Let the breadth of rectangle be x cm

∴ The length is x+4

Area=length \times breadth=x(x+4)=x^2+4xArea=length×breadth=x(x+4)=x

2

+4x

Now, length and breadth are each is increased by 3 cm

New length=(x+4)+3=x+7

New breadth=x+3

\text{New area=}(x+7)(x+3)=(x^2+10x+21) cm^2New area=(x+7)(x+3)=(x

2

+10x+21)cm

2

As the area of the new rectangle is 81 square cm more than the given rectangle.

⇒ x^2+10x+21=(x^2+4x)+81x

2

+10x+21=(x

2

+4x)+81

10x-4x=81-2110x−4x=81−21

6x=606x=60

x=\frac{60}{6}=10 cmx=

6

60

=10cm

∴ Length=x+4=10+4=14 cmLength=x+4=10+4=14cm

Breadth=x=10 cmBreadth=x=10cm

The length and breadth are 14 cm and 10 cm

Verified answer

Answer:

Suppose, you are writing an examination for your school, college or university. There are five subject papers in the examination. Which of the option is better?

Scoring 100% marks in one paper and score 0% marks in all other papersScoring good marks in all papers

I am sure that you would prefer to score good marks in all papers rather than scoring top marks in just one paper.

Whether it is an examination or life, you must be good at everything and excellent in one or more things.

All highly successful people had been the men of diverse talents though most people know them for their greatest talents only.

Let us take the example of the Prime Minister of India, Mr. Narendra Modi.

He is a great orator

He is a great administratorHe is honestHe is a great team personHe is extremely hardworkingHe is emotionally intelligent and connects easily with peopleHe is a great plannerHe is courageous who can take many risks in life

It is only because of the multiple qualities, he is so successful.

Imagine that he would have been excellent only in one respect (like being a great orator) and poor in other.

He would have been never greatly successful in life.

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