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Quadratic Area Word Problems #1

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Last updated over 4 years ago
18 questions
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Let's complete some problems together.

Question 1
1.

The area of a rectangle is 35. If the length is 2 more than the width, find the dimensions of the rectangle. [Only an algebraic solution will be accepted.]

[Type your answers in this form: 4 and 9 ]

Question 2
2.

The area of a square is 5 more than its perimeter. Find the length of the side of the square. [Only an algebraic solution will be accepted.]

[Type your answers in this form: 4 and 9 ]

Question 3
3.

A 4 m by 6 m rug covers half of the floor area of a room and leaves a uniform strip of bare floor round the edges. What are the dimensions of the room? [Only an algebraic solution will be accepted.]

[Type your answers in this form: 4 and 9 ]

Now, complete the rest for homework.

Question 4
4.

The dimensions of a rectangular garden were 3 m by 10 m. When both dimensions were increased by equal amounts, the area of the garden doubled. Find the dimensions of the new garden. [Only an algebraic solution will be accepted.]

[Type your answers in this form: 4 and 9 ]

Question 5
5.

A school is building a rectangular soccer field that has an area of 6,000 square yards. The soccer field must be 40 yards longer than its width. Determine algebraically the dimensions of the soccer field, in yards. [Only an algebraic solution will be accepted.]

[Type your answers in this form: 4 and 9 ]

Question 6
6.

A rectangular lawn measuring 8 m by 4 m is surrounded by a flower bed of uniform width. The combined area of the lawn and flower bed is 165 m2. What is the width of the flower bed? [Only an algebraic solution will be accepted.]

[Type your answers in this form: 4 and 9 ]

Question 7
7.

Joe has a rectangular patio that measures 10 feet by 12 feet. He wants to increase the area by 50% and plans to increase each dimension by equal lengths, x. Which equation could be used to determine x ?

Question 8
8.

A rectangle has an area of 24 square units. The width is 5 units less than the length. What is the length, in units, of the rectangle?

Question 9
9.

The length of a rectangle is 3 inches more than its width. The area of the rectangle is 40 square inches. What is the length, in inches, of the rectangle?

Question 10
10.

The width of a rectangle is 3 less than twice the length, x. If the area of the rectangle is 43 square feet, which equation can be used to find the length, in feet ?

Question 11
11.

Please upload pictures of your work if you didn't use the space provided.

Question 12
12.

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Question 13
13.

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Question 14
14.

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Question 15
15.

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Question 16
16.

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Question 17
17.

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Question 18
18.

Please upload pictures of your work if you didn't use the space provided.