The length of a rectangular field is 6m more than its breadth and the perimeter of the field 84m. Find the length and breadth of the field.
Answers
Answer:
Length = 14 m and Breadth = 6 m
Step-by-step explanation:
Given : The length of a rectangular field is 8 m more than its breadth.
To Find : If the perimeter of the field is 40 m, what is its length and breadth?
Solution :
Let the breadth of rectangle be x.
Since we are given that length of a rectangular field is 8 m more than its breadth.
So, Length = 20 + x
Formula of perimeter of rectangle = 2(Length × Breadth).
Now, we are given that the perimeter of the field is 8 m.
So, 40 = 2(8 + x + x)
40 = 2(8 + 2x)
40 = 16 + 4x
40 - 16 = 4x
24 = 4x
= x
6 = x
So, breadth of the rectangle is 6 m.
Length = 8 + x = 8 + 6 = 14 m
Hence, the length of the rectangle is 14 m.
Thank you!
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Answer:
Step-by-step explanation:
Refer to the attachment.