Question

Students are painting the backdrop for the school play the backdrop is 15 feet wide and 10 feet high every 16 inches on the scale drawing represents 5 feet in the backdrop what is the area of the scale drawing

Answer 1

To find the area of the scale drawing, convert the scale to actual measurements and multiply the dimensions. The area of the scale drawing is 1,536 square inches.

Step-by-step explanation:

To find the area of the scale drawing of the backdrop, we need to convert the scale to the actual measurements. The scale of the drawing is 16 inches = 5 feet. So, 1 inch of the scale drawing represents 5/16 feet in the actual backdrop. We can now find the dimensions of the scale drawing by multiplying the actual dimensions of the backdrop by the scale factor.

The width of the scale drawing = 15 feet × (1 inch/5/16 feet) = 15 × (16/5) = 48 inches

The height of the scale drawing = 10 feet × (1 inch/5/16 feet) = 10 × (16/5) = 32 inches

The area of the scale drawing = Width × Height = 48 inches × 32 inches = 1,536 square inches.

Answer 2

Actual:
15 ft wide and 10 ft high.

Area = 15ft * 10ft
Area = 150ft²

Scale drawing.
Every 16 inches represent 5 feet in the back drop.

15ft ÷ 5ft = 3 * 16 inches = 48 inches
10ft ÷ 5ft = 2 * 16 inches = 32 inches

Area = 48 in * 32 in
Area = 1536 in²

Area of the scale drawing is 1,536 square inch.