50. Models An airplane has a wingspan of 25 ft and a length of 20 ft. You are designing a model of the
airplane with a wingspan of 15 in. What will the
length of your model be?
With steps

i) The area of the plot of land is 15,000 m²

ii) The base area of the school is 2,000 m²

iii) The volume of the school building is 30,000 m³

iv) The perimeter of the plot of land is 500 m

v) The cost of fencing the plot of land is Rs 2,500

Step-by-step explanation:

The parameters of the land, the school building and the cost of fencing are;

The length of the land, l = 150 m

The breadth of the land, b = 100 m

The dimensions of the school = 50 m × 40 m × 15 m

The cost of fencing the plot per meter = Rs 50 per meter

i) The area of the plot of land, A = Length × Breadth

∴ A = 150 m × 100 m = 15,000 m²

The area of the plot of land, A = 15,000 m²

ii) Taking the height of the school, h = 15 m, the length of the school building, = 50 m, and the breadth of the school building, = 40 m, the base area of the school, , is given as follows;

= ×

∴ = 50 m × 40 m = 2,000 m²

iii) The volume of the school building, V = h ×   ×

∴ V = 15 m × 50 m × 40 m = 30,000 m³

iv) The perimeter of the plot of land, P = 2 × l + 2 × b

∴ P = 2 × 150 m + 2 × 100 m = 500 m

The perimeter of the plot of land, P = 500 m

v) The cost of fencing the plot of land, C = P × (The cost of fencing the plot per meter )

∴ C = 500 m × Rs 50/m = Rs 2,500

The cost of fencing the plot of land, C = Rs 2,500