the difference between length and breadth of a rectangle is 1 cm if 3 is added to its breadth and 7 cm is added to its length its perimeter become three times more than its previous parameter find the length
Answers
Answer:
26/12 or 14/12 cm
3 or 2 cm ( assuming 3 times rather than 3 times more)
Step-by-step explanation:
Let say Length = L cm
Breadth = L -1 cm
Perimeter = 2 ( L + L -1) = 4L - 2cm
7 cm added to Length = L + 7 cm
3 cm added to Breadth = L -1 + 3 = L + 2 cm
New Perimeter = 2 ( L +7 + L + 2) = 4L + 18 cm
New perimeter = 3 times more than Previous perimeter
=> New Perimeter = Previous Perimeter + 3 * Previous Perimeter
=> New Perimeter = 4 * Previous perimeter
=> 4 L + 18 = 4 * (4L -2)
=> 18 + 8 = 16L -4L
=> 26 = 12L
=> L = 26/12 cm
Breadth = 14/12 cm
out of 26/12 & 14/12 cm any one can be length
But looks like questioner wants to say new perimeter = 3 * previous perimeter
then
4L + 18 = 3 * (4L -2)
=> 4L + 18 = 12L - 6
=> 8L = 24
=> L =3 cm
Breadth = 2 cm
Length can be either of 3 or 2 cm