Question

(14) The length of a rectangle is 5 cm more than its breadth. If the length is decreased by 3 cm and
breadth is decreased by 2 cm, then area of the new rectangle is same as the area of the original
rectangle. Find the dimensions of the original rectangle.​

Answer 1

Answer:

pata Nhii plzz mark me as brain least

Answer 2

$\huge\underline{\underline{\bf\red{Solution:}}}$

Let the breadth of a rectangle be x cm.

Therefore, length will be 2x−5 cm.

Now, length is decreased by 5 cm i.e., 2x−5−5=2x−10 cm and breadth is increased by 2 cm, i.e., x+2 cm.

Also given, perimeter =74=2(l+b) cm.

Therefore, 2[2x−10+x+2]=74

⇒2[3x−8]=74

⇒6x−16=74

⇒6x=74+16

⇒6x=90

⇒x=15

Now, length will be =2x−5=2(15)−5=30−5=25 cm.

Therefore, length and breadth of a rectangle are 25 cm and 15 cm respectively.