Question

the perimeter of a rectangle field is 144m and its breadth 15m.find the length and the area of the field .find the cost of cultivating the rectangular field at rs 25 per square meter .also find the cost of fencing the field at rs 17 per meter?​

Answer 1

Step-by-step explanation:

$\bf\Large\underline{\underline{\red{Question :}}}$

• The perimeter of a rectangle field is 144m and its breadth 15m.find the length and the area of the field .find the cost of cultivating the rectangular field at rs 25 per square meter .also find the cost of fencing the field at rs 17 per meter?

$\bf\Large\underline{\underline{\red{To \: find :}}}$

• The length of the field.
• The area of the field.
• The cost of cultivating the rectangular field at rs 25 per square meter.
• The cost of fencing the field at rs 17 per meter.

$\bf\Large\underline{\underline{\red{Solution :}}}$

➞ Given Perimeter = 144 m

➞ Breadth = 15 m

➞ Let length be l.

➤ As we know,

$\sf\fbox{\red{Perimeter = 2(l + b)}}$

Putting Values,

$\implies\sf\large144 = 2(l + 15)$

$\implies\sf\large144 = 2l + 30$

$\implies\sf\large2l = 144 + 30$

$\implies\sf\Large \: l = \frac{194}{2}$

$\implies\sf\large l = 97$

∴ Length = 97 m

Now we will find the area.

➤ As we know,

$\sf\fbox{\red{Area = Length × Breadth}}$

↪ Area = 97 × 15

↪ Area = 1455 m²

Cost of cultivating the rectangular field is Rs. 25 per square meter.

∴ Cost of cultivating = 1455 × 25 = Rs. 36,375

Hence, the cost of cultivating the rectangular field at Rs. 25 per square meter is Rs. 36,375.

➤ Now,

The cost of fencing the field is Rs. 17 per meter.

∴ Cost of fencing = 144 × 17 = Rs. 2,448

Hence, the cost of fencing the field at Rs. 17 per meter is Rs. 2,448.