
Solving Quadratic Area Problems in Rectangles
Authored by Anthony Clark
English, Mathematics
9th Grade

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10 questions
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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: 6 meters, Length: 9 meters
Width: 5 meters, Length: 8 meters
Width: 8 meters, Length: 11 meters
Width: 7 meters, Length: 10 meters
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
The area of a rectangular swimming pool is 120 square meters. If the length is twice the width, what are the dimensions of the pool?
Width: 3 meters, Length: 6 meters
Width: 5 meters, Length: 10 meters
Width: 2 * sqrt(15) meters, Length: 4 * sqrt(15) meters
Width: 4 meters, Length: 8 meters
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A rectangular field has a length that is 5 meters less than twice its width. If the area of the field is 150 square meters, find the dimensions of the field.
Width: 10 meters, Length: 15 meters
Width: 8 meters, Length: 14 meters
Width: 12 meters, Length: 18 meters
Width: 5 meters, Length: 10 meters
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A rectangular poster has a width that is 4 inches less than its length. If the area of the poster is 96 square inches, what are the dimensions of the poster?
12 inches by 8 inches
8 inches by 4 inches
10 inches by 6 inches
14 inches by 10 inches
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
The length of a rectangular classroom is 2 meters more than its width. If the area of the classroom is 48 square meters, determine the dimensions of the classroom.
Width: 5 meters, Length: 9 meters
Width: 7 meters, Length: 9 meters
Width: 6 meters, Length: 8 meters
Width: 4 meters, Length: 10 meters
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A rectangular plot of land has a length that is 6 meters longer than its width. If the area of the plot is 72 square meters, what are the dimensions of the plot?
Width: 5 meters, Length: 11 meters
Width: 6 meters, Length: 12 meters
Width: 7 meters, Length: 13 meters
Width: 8 meters, Length: 10 meters
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
The area of a rectangular room is 200 square feet. If the length is 10 feet more than the width, what are the dimensions of the room?
Width: 20 feet, Length: 30 feet
Width: 15 feet, Length: 25 feet
Width: 5 feet, Length: 15 feet
Width: 10 feet, Length: 20 feet
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