# The Length and the Breadth of a Rectangular Field Are in the Ratio 5: 4 and Its Area is 3380 M2. Find the Cost of Fencing It at the Rate of ₹75 per M. - Mathematics

Sum

The length and the breadth of a rectangular field are in the ratio 5: 4 and its area is 3380 m2. Find the cost of fencing it at the rate of ₹75 per m.

#### Solution

Ratio in length and breadth = 5 : 4
Area of rectangular field = 3380 m2
Let length = 5x and breadth = 4x
5x x 4x = 3380
=> 20x2= 3380
x2 = 3380/20 = 169 = (13)2
x = 13
Length = 13 x 5 = 65 m
Breadth =13 x 4 = 52 m
Perimeter = (l + b) = 2 x (65 + 52) m = 2 x 117 = 234 m
Rate of fencing = ₹ 75 per m
Total cost = 234 x 75 = ₹ 17550

Concept: Perimeter of a Rectangle
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#### APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 20 Area of a Trapezium and a Polygon
Exercise 20 (B) | Q 18 | Page 228