Quadratics in Area and Perimeter: Grade 9 Challenges
Quiz
•
English, Mathematics
•
9th Grade
•
Hard
Anthony Clark
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
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?
Width: 7 meters, Length: 10 meters
Width: 6 meters, Length: 9 meters
Width: 8 meters, Length: 11 meters
Width: 5 meters, Length: 8 meters
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A square park has a perimeter of 64 meters. If the park is expanded by increasing each side by 'x' meters, express the new area of the park as a quadratic equation and find the value of 'x' if the new area is 144 square meters.
10
8
4
6
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
The length of a rectangular swimming pool is twice its width. If the perimeter of the pool is 60 meters, find the dimensions of the pool and calculate its area.
Width: 15 meters, Length: 30 meters, Area: 450 square meters
Width: 10 meters, Length: 20 meters, Area: 200 square meters
Width: 12 meters, Length: 24 meters, Area: 288 square meters
Width: 5 meters, Length: 10 meters, Area: 50 square meters
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A rectangular field has a length that is 5 meters more than twice its width. If the area of the field is 100 square meters, find the dimensions of the field.
Width: 5 meters, Length: 15 meters
Width: 8 meters, Length: 21 meters
Width: 10 meters, Length: 25 meters
Width: 12 meters, Length: 29 meters
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A triangular garden has a base that is 4 meters longer than its height. If the area of the garden is 48 square meters, find the height and base of the garden.
Height: 10 meters, Base: 14 meters
Height: 6 meters, Base: 10 meters
Height: 4 meters, Base: 8 meters
Height: 8 meters, Base: 12 meters
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A rectangular room has a length that is 2 meters less than three times its width. If the area of the room is 50 square meters, determine the dimensions of the room.
Width: 5 meters, Length: 15 meters
Width: 5 meters, Length: 13 meters
Width: 4 meters, Length: 10 meters
Width: 6 meters, Length: 12 meters
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A rectangular plot of land has a width of 'w' meters and a length of 'w + 10' meters. If the area of the plot is 200 square meters, find the value of 'w' and the dimensions of the plot.
Width: 12 meters, Length: 22 meters
Width: 15 meters, Length: 25 meters
Width: 10 meters, Length: 20 meters
Width: 5 meters, Length: 15 meters
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