Length and breadth of rectangular field are in the ratio 5 : 2. If the perimeter of the field is 238 m. Find the length of the field.
Answer & explanation
Correct answer: option 1
We know that,
Perimeter of the rectangle = 2 (length + breadth)
Given,
Ratio of length and breadth of the rectangular field = 5 : 2.
Perimeter of the rectangular field = 238 m.
Let the ratio of length and breadth of the rectangular field = 5a : 2a
According to the question
2 × (5a + 2a) = 238
= 2 × 7a = 238
= 14a2 = 238
= a = 17 m
Length of the field = 5 × 17 = 85 m