Advanced MathHardGarden width from a path's area
Advanced Math practice question
A rectangular garden is twice as long as it is wide. A path 1 metre wide runs around the outside of the garden, and the path's area is 34 square metres. What is the width of the garden, in metres?
Answer: 5
With width w, the outer rectangle is (2w + 2) by (w + 2). Its area minus the garden's is 6w + 4 = 34, so w = 5.
Common wrong answers
- If you answered 10
- 10 is the length.
- If you answered 17
- 17 halves 34.
- If you answered 34
- 34 is the path's area.
More Advanced Math questions
- Hard
A population of bacteria doubles every 3 hours. If it starts at 500, which function models the population P af… - Hard
How many real solutions does x² + 4x + 5 = 0 have? - Hard
A car worth $20,000 loses 15% of its value each year. What is its value after 2 years? - Hard
An investment of $1,000 grows at 6% per year, compounded annually. Which expression gives its value after t ye… - Hard
If f(x) = x² − 1 and g(x) = x + 2, what is g(f(3))? - Hard
The parabola y = x² − 8x + 12 crosses the x-axis at two points. What is the x-coordinate of the vertex?
Not affiliated with the College Board. SAT is a trademark of the College Board.