A rectangular field has length three times the breadth and the perimeter is 800m. Find the cost of digging the ground at Rs8 per meter^2.

Rs240 000

Step-by-step explanation:

Let the length and breadth of the rectangular field be represented by l and b respectively.

Thus,

l = 3b ............. 1

Perimeter of a rectangle = 2(l + b)

The perimeter of the given rectangle = 800 m, so that;

800 = 2(l + b)

l + b =

       = 400

l + b = 400 ............... 2

But, l = 3b. So that,

3b + b = 400

4b = 400

b =

   = 100

b = 100 m

l = 3b

 = 3 x 100

l = 300

The length of the rectangular field is 300 m, while its breadth is 100 m.

Area of the rectangular field = l x b

                        = 300 x 100

                        = 30 000

Area of the rectangular field is 30 000 .

Cost of digging the ground at the rate of Rs8 per = Rs8 x 30 000

                                            = Rs240 000

step-by-step explanation:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

step-by-step explanation:

given that megan owns a clothing boutique.

the profits of 2010, 11, are recorded and shown as follows:

years since     2010 0     1     2     3       4       5

profits made in 1000's   39       84     111     120   111     84

we find that profit gradually increases form 2010 to 2013 upto 120,   then starts decreasing.

the profits for 2012 and 2014 are the same while that of 2011 and 2015 are also the same.

this shows that there is symmetry about the line profit = 120000

hence answer is:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

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step-by-step explanation: