Question

the length of a rectangle exceeds its breadth by 4 cm if the length and breadth is each increased by 3 cm the area of new rectangle will be 81 cm square more than the given rectangle find the length and breadth of the given rectangle (linear equation Mein iska answer nikalna hai)

Answer 1

Heya friend ✋! here is your answer
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◆Let breadth be x

◆Then length =x+4

◆Now according to question

◆(Area of rectangle =(l×b)

◆x(x+4)=x^2+4x

◆If length & breadth increase by 3cm then area of new rectangle is 81more

So
,
✅(x+3)(x+4+3)=81+x^2+4x

✅(x+3)(x+7)=81+x^2+4x

✔️x(x+7)+3(x+7)=81+x^2+4x

✅x^2+7x+3x+21=81+x^2+4x

✔️10x+21=81+4x

✔️10x-4x=81-21

✅6x=60

✅x=60/6

✔️x=10

◆So the breadth of rectangle is 10 cm

&

Length is x+4 So length is 10+4=14cm

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⭐️Hope it helps you ⭐️

#Rohan ( Maths aryabhatta)♥️