the length of a rectangular field exceeds it's breadth by 8metres . if the perimeter of the field is 80metres find the length of the field
Answers
Given:
The length of a rectangular field exceeds it's breadth by 8 metres.
The perimeter of the field is 80 metres.
To find:
The length of the field.
Solution:
Let, the breadth of the rectangle be, 'b'.
∴ Length = (b+8)
Perimeter = 80 metres.
From the formula we get that,
Perimeter = 2(Length + Breadth)
∴ According to the problem:
80 = 2{b+(b+8)}
⇒ (80÷2) = 2b+8
⇒ 40 = 2b+8
⇒ 2b+8 = 40
⇒ 2b = (40-8)
⇒ 2b = 32
⇒ b = (32÷2)
⇒ b = 16 metres.
Hence, the breadth of the rectangle is 16 metres.
∴ The length of the rectangle is (16+8) metres
= 24 metres.
∴ The length of the rectangle is 24 metres.
Answer:
The length of the rectangle is 24 metres.
Answer:
Let the breadth of the rectangle be x units
the length of the rectangle ( x+8) units
perimeter of the field = 80
2 (Length+Breadth) = 80
L + B = 80/2
x +(x+8) = 40
x+x+8=40
2x = 40 - 8
2x = 32
x = 32/2
x = 16 units
Breadth = 16 units
Length = x+8 unit
Length =16+8
Length = 24 units
Did this solution help you?
Pls Mark this solution as brainliest.