The perimeter of a rectangle is 134cm if its lenght is 3 cm more than its breadth find the lenghth and breadth of the rectangle
Answers
Answered by
4
Answer:
Let the breadth be x.
length=x+3
perimeter=134
therefore,
2(x+x+3)=134
4x+6=134
4x=134-6
4x=128
x=128/4=32
breadth=32 cm
length=32+3=35 cm
Answered by
6
Given :
- Perimeter of a rectangle = 134 cm
- Length of rectangle is 3 cm more than breadth.
To find :
- Length and breadth of rectangle?
Solution :
☯ Let breadth of rectangle be x cm.
Then, Length of rectangle will be (x + 3) cm
Now,
★ According to the Question:
- Perimeter of a rectangle = 134 cm
As we know that,
✮ Perimeter of Rectangle = 2(length + breadth)
⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━━━⠀⠀⠀⠀⠀
Therefore,
➻ 2((x + 3) + x) = 134
➻ (x + 3) + x = 134/2
➻ 2x + 3 = 67
➻ 2x = 67 - 3
➻ 2x = 64
➻ x = 64/2
➻ x = 32
Hence,
- Breadth of rectangle, x = 32 cm
- Length of rectangle, (x + 3) = 32 + 3 = 35 cm
⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━━━⠀
✮ More to know:
- Area of rectangle = length × breadth
- Diagonal of rectangle = √(length)² + (breadth)²
- Area of square = side × side
- Perimeter of square = 4 × side
- Diagonal of rectangle = √2 × side
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