Question

Length and breadth of a rectangle field are in the ratio 9:5 .If the area of the field is 14580 square meter . find the cost of surrounding the field with fence at the rate rupees 3.25 per meter

Answer 1

Answer:

Step-by-step explanation:

area of rectangle= length x breadth

                 14580 =9y x 5y

                  14580 =45y

                   14580/45= y

                 324=y

                      length =9y=2916m

                      breadth=5y=1620m

             as we have to find the cost of surrounding we find the perimeter

          perimeter = 2(l+b)

                              =2(2916+1620)

                             =2x 4536

                             =9072m              

to find the cost =

                  9072x3.25

                         =29484rupees

          hope it helped!!                  

Answer 2

Given:-

• Ratio of length and breadth = 9 : 5
• Area of field = 14580m²

To find:-

• Length and breadth ..?
• Cast of fencing the field..?

Solutions:-

• Let length and breadth of rectangle be 9x and 5x cm.

Therefore,

Area of rectangle = length × breadth

=> 14580 = 9x × 5x

=> 14580 = 45x²

=> 14580/45 = x²

=> 324 = x²

=> √324 = x

=> x = 18

So, length => 9x = 9 × 18 = 162

breadth => 5x = 5 × 18 = 90

As, fencing can be done around the field.

Perimeter => 2(length × breadth)

=> 2(162 × 90)

=> 2(256)

=> 504

Now, ratio of fencing Rs 3.25 per meter.

Total cost of fencing => 3.25 × 504

=> 1638

Hence, cost of fencing the field is 1638.