Question

the length and breadth of a rectangle field are in the ratio 3:2 if the perimeter of the field is 250 m
find the cost of reaping the field at 15 per 50m
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Answer 1

Correct Question:-

• the length and breadth of a rectangle field are in the ratio 3:2 if the perimeter of the field is 250 m. Find the cost of reaping the field at 15 per 50m.

Given:-

• Ratio of length and breadth is 3:2
• Perimeter of rectangle is 250m.

To find:-:-

• Cost of reaping at the cost of Rs.15 per 50 m.

Let the sides be 3x and 2x.

$\boxed{ \pink{ \mathfrak{ \underline{Perimeter \: of \: rectangle : - \: 2(length \times breadth)}}}}$

$\sf \: 2(3x + 2x) = 250 {m}^{2}$

$\sf \: 5x = \frac{250}{2}$

$\sf \: 5x = 125$

$\sf \: x = \frac{125}{5} = 25$

Now substituting the values we will get the value of length and breadth:-

• Length= 3x=3×25=75m
• Breadth = 2x = 2×25 =50m.

Area of rectangle = length × breadth

$= 75m \times 50 {m}$

$= 3750 {m}^{2}$

Cost of reaping= Rs.15 m.

$\frac{3750}{50} \times 15$

$= rs. \: 1125$

Step-by-step explanation:

Learn More formulas :-

• Area of rectangle = length ×breadth
• Area of square = side²
• Perimeter of rectangle =2(length +breadth)
• Perimeter of square =4×side