Question
area of actual trampoline= 60ft^2
area of trampoline in scale drawing = 3.75 in^2
the area of the trampoline is ______ times greater than than it is in the drawing
area of trampoline in scale drawing = 3.75 in^2
the area of the trampoline is ______ times greater than than it is in the drawing
Answers
GPT-4o mini
To find out how many times greater the actual trampoline area is compared to the area in the scale drawing, you can divide the actual area by the area in the drawing.
Given:
- Actual area of trampoline = 60 ft²
- Area of trampoline in scale drawing = 3.75 in²
First, we need to convert the area of the trampoline in the scale drawing from square inches to square feet, since 1 square foot = 144 square inches:
\[
3.75 \text{ in}^2 \times \frac{1 \text{ ft}^2}{144 \text{ in}^2} = \frac{3.75}{144} \text{ ft}^2 \approx 0.02604167 \text{ ft}^2
\]
Now, divide the actual area by the scaled area:
\[
\frac{60 \text{ ft}^2}{0.02604167 \text{ ft}^2} \approx 2303.99
\]
So, the area of the actual trampoline is approximately **2304 times greater** than the area in the drawing.
Given:
- Actual area of trampoline = 60 ft²
- Area of trampoline in scale drawing = 3.75 in²
First, we need to convert the area of the trampoline in the scale drawing from square inches to square feet, since 1 square foot = 144 square inches:
\[
3.75 \text{ in}^2 \times \frac{1 \text{ ft}^2}{144 \text{ in}^2} = \frac{3.75}{144} \text{ ft}^2 \approx 0.02604167 \text{ ft}^2
\]
Now, divide the actual area by the scaled area:
\[
\frac{60 \text{ ft}^2}{0.02604167 \text{ ft}^2} \approx 2303.99
\]
So, the area of the actual trampoline is approximately **2304 times greater** than the area in the drawing.