Question

The length and breadth of a rectangular field are in the ratio 7 : 4. A path 4 m wide running all around outside has an area of 416 sq.m .The breadth (in m) of the field is

• A. 28
• B. 15
• C. 14
• D. 16

Answer 1

Answer:

D. 16

Let length of rectangular field = 7x metre & breadth = 4x metre

Length of field with path = (7x + 8) metre

Breadth = (4x + 8) metre

Area of path = (7x + 8) × (4x + 8) – 7x × 4x

= 28x²+ 32x + 56x + 64 – 28x²

= 88x + 64

88x + 64 = 416

88x = 416 – 64 = 352

x = 4

Breadth of field $=4\times{4}= 16 metre$