A rectangular garden has a length that is 3 meters longer than its width. If the area of the garden is 70 square meters, what are the dimensions of the garden?
Mastering Quadratic Equations: Real-World Challenges

Quiz
•
English, Mathematics
•
9th Grade
•
Hard
Anthony Clark
FREE Resource
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Width: 8 meters, Length: 11 meters
Width: 7 meters, Length: 10 meters
Width: 6 meters, Length: 9 meters
Width: 5 meters, Length: 8 meters
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A ball is thrown upwards from a height of 1.5 meters with an initial velocity of 10 meters per second. How long will it take for the ball to hit the ground?
4.2 seconds
2.08 seconds
3.5 seconds
1.5 seconds
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
The path of a projectile can be modeled by the equation h(t) = -4.9t^2 + 10t + 1.5, where h is the height in meters and t is the time in seconds. When will the projectile reach its maximum height?
1.50 seconds
0.75 seconds
2.00 seconds
1.02 seconds
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A company finds that the profit P (in dollars) from selling x items is given by the equation P(x) = -2x^2 + 40x - 100. How many items should the company sell to maximize its profit?
5
20
10
15
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A car's distance from a starting point can be modeled by the equation d(t) = 5t^2 + 20t, where d is the distance in meters and t is the time in seconds. How far will the car be after 4 seconds?
80 meters
120 meters
160 meters
200 meters
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
The area of a triangle is given by the formula A = 1/2 * base * height. If the base is 2 meters longer than the height and the area is 30 square meters, what are the dimensions of the triangle?
Height: 4 meters, Base: 6 meters
Height: 5 meters, Base: 7 meters
Height: 10 meters, Base: 12 meters
Height: 6 meters, Base: 8 meters
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A rectangular swimming pool has a length that is twice its width. If the area of the pool is 288 square meters, what are the dimensions of the pool?
Width: 10 meters, Length: 20 meters
Width: 15 meters, Length: 30 meters
Width: 12 meters, Length: 24 meters
Width: 8 meters, Length: 16 meters
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