The perimeter of a rectangle is 348 cm . Find the length of the rectangle if it is two more than three times it's breadth . Please solve this question .
Answers
ɢɪᴠᴇɴ :-
The perimeter of a rectangle is 348 cm . Find the length of the rectangle if it is two more than three times it's breadth .
ᴛᴏ ғɪɴᴅ :-
- Length (l)
- Breadth (b)
sᴏʟᴜᴛɪᴏɴ :-
Let length of rectangle be x cm and breadth be y cm
then,
✞ According to Question :-
- Length = 3×Breadth + 2
- x = 3y + 2. ---(1)
Now,
➦ Perimeter of Rectangle = 348 cm --(given)
We know that,
➦ Perimeter of Rectangle = 2(l + b)
➭ 2(l + b) = 348
➭ (l + b) = 348/2
➭ l + b = 174
➭ x + y = 174
➭ (3y + 2) + y = 174. --(from-1)
➭ 4y = 174 - 2
➭ 4y = 172
➭ y = 172/4
➭ y = 43
Put y = 43 in (1) , we get,
➭ x = 3y + 2
➭ x = 3×43 + 2
➭ x = 129 + 2
➭ x = 131
Hence,
- Length(l) = x = 131 cm
- Breadth(b) = y = 43 cm
Answer:
Step-by-step explanation:
348=perimeter
Perimeter =2(L+B)
Length is said to be 2 more than 3 times breadth..
so L=2+3B
Put this value in this equation
348=2(L+B)
348=2{(2+3B)+B}
348={4+8B}
348=4+8B
Now transfer 4 to left hand side
348-4=8B
344=8B
344/8=B
Breadth=43 cm
Length was 2 more than 3times breadth
Length=2+3(43)
Length=131 cm