the length of a rectangle is 12cm more than its breadth. If the perimeter is144cm find its length and width
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Let the length of the rectangle = l
Let the breadth of the rectangle = b.
Given that the length of the rectangle is 12cm more than its breadth.
l = b + 12 ------------- (1)
We know that perimeter of the rectangle = 2(l + b).
Given that perimeter of the rectangle = 144cm.
2(l + b) = 144
2(b + 12 + b) = 144
2(2b + 12) = 144
2b + 12 = 72
2b = 60
b = 30.
Breadth b = 30cm.
Length = b + 12
= 42cm.
verification:
2(l + b) = 144
2(30 + 42) = 144
2(72) = 144
144 = 144
Hope this helps!
Let the breadth of the rectangle = b.
Given that the length of the rectangle is 12cm more than its breadth.
l = b + 12 ------------- (1)
We know that perimeter of the rectangle = 2(l + b).
Given that perimeter of the rectangle = 144cm.
2(l + b) = 144
2(b + 12 + b) = 144
2(2b + 12) = 144
2b + 12 = 72
2b = 60
b = 30.
Breadth b = 30cm.
Length = b + 12
= 42cm.
verification:
2(l + b) = 144
2(30 + 42) = 144
2(72) = 144
144 = 144
Hope this helps!
jdvc:
2×12+2b
Answered by
2
Answer:
Let the length of the rectangle = l
Let the breadth of the rectangle = b.
Given that the length of the rectangle is 12cm more than its breadth.
l = b + 12 ------------- (1)
We know that perimeter of the rectangle = 2(l + b).
Given that perimeter of the rectangle = 144cm.
2(l + b) = 144
2(b + 12 + b) = 144
2(2b + 12) = 144
2b + 12 = 72
2b = 60
b = 30.
Breadth b = 30cm.
Length = b + 12
= 42cm.
verification:
2(l + b) = 144
2(30 + 42) = 144
2(72) = 144
144 = 144
Step-by-step explanation:
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