find the length and breadth of rectangle who's perimeter is 72cm and dimensions are 5x+4 and x-4
Answers
Answered by
12
Question
- Find the length and breadth of rectangle who's perimeter is 72cm and dimensions are 5x+4 and x-4?
Answer
- Length = 34cm
- Breadth = 2cm
Given
- Perimeter = 72cm
- Dimensions are 5x+4 and x-4
To Calculate
- Length and breadth __?
Explanation
Let
Length (l) = 5x+4
Breadth (b) = x-4
Perimeter = 72cm
☆ Perimeter of rectangle = 2(l+b)
➩ 2(5x+4+x-4) = 72
➩ 2( 6x)= 72
➩ 6x= 72/2
➩ 6x = 36
➩ x= 36/6
➩ x= 6
Length = 5x+4
➩ 5×6+4
➩ 30+4
➩ 34
Breadth = x-4
➩ 6-4
➩ 2
- Length = 34cm
- Breadth = 2cm
⠀⠀⠀⠀_______________________________________
Answered by
2
Answer:
Dimensions of the rectangle ,
Length = l = 5x + 4
Breadth = b = x - 4
According to the problem given ,
Perimeter = 72 m
2( l + b ) = 72
l + b = 72 /2
l + b = 36
5x + 4 + x - 4 = 36
6x = 36
x = 36 / 6
x = 6
l = 5x + 4 = ( 5 × 6 ) + 4 = 30 + 4
l = 34 m
b = x - 4
b = 6 - 4
b = 4 m
Therefore ,
l = 34m , b = 4m
Step-by-step explanation:
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