the lenght of rectangle is 5 m less then thrice its breadth, find its length if its breadth is X m? About the author Madeline
Answer: 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. Reply
Answer:
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.