18. The length of rectangular piece of land exceeds its breadth by 2 metres. If the perimeter of the piece of land is 142 metres. Find the dimensions of the piece of land.
Answers
Answer:
Length of the rectangular piece of land=36.5m
Breadth of the rectangular piece of land=34.5m
Step-by-step explanation:
It is given that the length of the rectangular piece of land exceeds its breadth by 2 metres.
∴ Length= (Breadth+2)
Let length be l and breadth be b.
The formula for the perimeter of a rectangle is 2(length+breadth).
In the question,
l=(b+2)m
Perimeter=142 m
Putting values in the formula,
142= 2( b+2+b)
142=2(2b+2)
142=4b+4
142-4=4b
138=4b
b=138/4
b=34.5m
l=b+2=34.5+2=36.5m
Therefore, the length of the rectangular piece of land=36.5m
breadth of the rectangular piece of land=34.5m
Answer:
Length of rectangular piece of land is 36.5 m. and breadth is 34.5 m.
Step-by-step explanation:
Given:
Perimeter of rectangular land = 142 m.
It is given that length of rectangular land is 2 m. more than its breadth.
Let breadth of rectangular piece of land be x m.
∴ Length of rectangular piece of land be ( x + 2) m.
As we know that,
Perimeter of rectangle = 2 (length +breadth)
142 = 2 {( x + 2) + x}
142 / 2 = x + 2 +x
7 1 = 2x + 2
71 - 2 = 2x
69 / 2 = x
34.5 = x
Breadth of rectangular piece of land = 34.5 m.
Length of rectangular piece of land = x + 2 =34.5 + 2=36.5 m.