Answer:
- 40 m wide
- 240 m perimeter
- ₹80,000 cost to dig
Explanation:
Given a land area of 3200 m² with a length of 80 m, you want the width, perimeter, and cost of digging at ₹25/m².
Width
The formula for the area of a rectangle can be used to find the width of the plot.
A = LW . . . . . . area is the product of length and width
3200 m² = (80 m)W . . . . . fill in given values
40 m = W . . . . . . . . . . . . divide by the coefficient of W
The width of the plot is 40 m.
Perimeter
The perimeter can be found using the formula ...
P = 2(L +W)
Using the length and width we know, this is ...
P = 2(80 m +40 m) = 2(120 m)
P = 240 m
The perimeter of the plot is 240 m.
Digging cost
The cost of digging will be the product of the number of square meters and the cost of digging each one:
digging cost = (3200 m²)×(₹25 /m²) = ₹80,000
The cost of digging the land is ₹80,000.