Question

The garden measures 20 ft by 30 ft and you want to increase the area of the garden to 1,000ft^2. What is the width of the walkway?
A: approx. 3.3 ft
B: approx. 3.5 ft
C: approx. 3.7 ft
D: approx. 3.9 ft

Answer 1

20x30=600
If you scale the garden up to 1000 ft^2, keeping the width to length ratio the same, 2 to 3, then solve the following equation for x:\[(2x)(3x)=1000\]\[x=10 \sqrt{\frac{5}{3}} \]\[2x= \text{new$\_$width}=20 \sqrt{\frac{5}{3}}\text{ft}=25.82 \text{ft} \]

Answer 2

If only the new length is changed then solve:
\[20(30x)=1000\]\[x=\frac{5}{3} \]\[\text{new$\_$length}=30\left(\frac{5}{3}\right)=50 \text{ ft} \]

Answer 3

I fail to see where A: through D: relate to the problem text, however, I could be wrong.