Question 1

A farmer has

12x^2y

square meters of land and he wants to divide it into smaller rectangular plots, each with an area of

4xy

square meters. How many such plots can he create?

Accepted Answer

3x plots

Answer

4x plots

Answer

3y plots

Answer

6xy plots

Question 2

A builder is purchasing tiles for a rectangular wall. The area of the wall is given by

12x^2y

square meters. If the width of the wall is

4xy

meters, what is the length of the wall in terms of

x

and

y

?

Accepted Answer

6y meters

Answer

20y meters

Answer

10xy meters

Answer

8x meters

Question 3

A company produces

12x^2y

units of a certain product each month and plans to pack them into boxes that can contain

4xy

units each. How many boxes are needed to pack all the products?

Accepted Answer

6x boxes

Answer

12x boxes

Answer

9x boxes

Answer

6y boxes

Question 4

A factory produces

12x^2y

units of product A and

4xy

units of product B daily. If both types of products are packed into boxes containing a common amount of units, what is the greatest number of units each box can contain?

Accepted Answer

5x units

Answer

10x units

Answer

15x units

Answer

3x units

Question 5

A gardener is designing a rectangular flower bed. The length of the flower bed is given by

12x^2y

meters and the width is given by

4xy

meters. What is the area of the flower bed in terms of

x

?

Accepted Answer

12x^2 square meters

Answer

8x^2 square meters

Answer

6x^2 square meters

Answer

12x square meters

Question 6

If the area of a square field is represented by

12x^2y

, which pair of expressions represents the length and width of the field?

Accepted Answer

(x + 6y)

and

(x - 6y)

Answer

(x + 6y)

and

(x - 6y)

Answer

(x + 6y)

and

(x - 6y)

Answer

(x + 6y)

and

(x - 6y)

Question 7

A garden has an area given by

12x^2y

. Which expressions represent the possible lengths and widths of the garden?

Accepted Answer

(x + 6y)

and

(x - 6y)

Answer

(x + 6y)

and

(x - 6y)

Answer

(x + 6y)

and

(x - 6y)

Answer

(x + 6y)

and

(x - 6y)

Question 8

A company produces rectangular tiles where the area is given by

12x^2y

. What are the possible dimensions of these tiles?

Accepted Answer

(x + 6y)

and

(x - 6y)

Answer

(x + 6y)

and

(x - 6y)

Answer

(x + 6y)

and

(x - 6y)

Answer

(x + 6y)

and

(x - 6y)

Question 9

The area of a rectangular park is represented by

12x^2y

. Which expressions describe the possible dimensions of the park?

Accepted Answer

(x + 6y)

and

(x - 6y)

Answer

(x + 6y)

and

(x - 6y)

Answer

(x + 6y)

and

(x - 6y)

Answer

(x + 6y)

and

(x - 6y)

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