Answer:
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 = [tex]\frac{800}{2}[/tex]
= 400
l + b = 400 ............... 2
But, l = 3b. So that,
3b + b = 400
4b = 400
b = [tex]\frac{400}{4}[/tex]
= 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 [tex]m^{2}[/tex].
Cost of digging the ground at the rate of Rs8 per [tex]m^{2}[/tex] = Rs8 x 30 000
= Rs240 000
