Visualizing Distributive Property

Q.

What is the noun of the word decide.

Q.

The length of a rectangle is 12 cm and its breadth is 6 cm. If the length is increased by 4 cm, the increase in area is equal to

1. $26c{m}^2$

2. $22c{m}^2$

3. $18c{m}^2$

4. $24c{m}^2$

Q.

The length of a rectangle is 20 cm and its breadth is 8 cm. If the length is increased by 2 cm, the increase in area is equal to

1. $18c{m}^2$

2. $16c{m}^2$

3. $20c{m}^2$

4. $22c{m}^2$

Q.

The length of a rectangle is $15cm$ and breadth is $8cm.$ If the length is increased by $5cm$ and breadth is increased by $2cm,$ then the increase in area is equal to

1. $40c{m}^2$

2. $80c{m}^2$

3. $60c{m}^2$

4. $100c{m}^2$

Q.

The length of a rectangle is 10cm and breath is 5 cm. If the breadth is decreased by 1cm, the decrease in area is equal to

1. $10c{m}^2$

2. $12c{m}^2$

3. $11c{m}^2$

4. $8c{m}^2$

Q.

The length of a rectangle is 12cm and its breadth is 8 cm. If the length is increased by 3 cm, then the increase in area is equal to

1. $2.18c{m}^2$

2. $21c{m}^2$

3. $24c{m}^2$

4. $27c{m}^2$

Q.

The length of a rectangle is 10cm and breadth 6cm. If the length is decreased by 3cm and breadth by 2cm. The decrease in the area is

1. $36c{m}^2$

2. $32c{m}^2$

3. $34c{m}^2$

4. $40c{m}^2$

Q.

If the area of rectangular plot is $15ha$and its breadth is $300m$ , then the distance covered by girl in walking around it is :

1. $800m$

2. $1km600m$

3. $3km200m$

4. $1km200m$

Q.

The length of a rectangle is 10 cm and breadth is 5 cm. If the breadth is decreased by 2 cm, the decrease in the area is equal to

1. $10c{m}^2$

2. $20c{m}^2$

3. $15c{m}^2$

4. $25c{m}^2$

Q.

Zuko's father planned to put tiles in all the rooms of his house. The house has 4 rooms with each room having a floor area of 25 square meters. What will be the amount of money paid by him if the rate of tiling is Rs. 5 per 100 square centimeters?

1. Rs. 500

2. Rs. 5, 000

3. Rs. 50, 000

4. Rs. 5, 00, 000

Q.

The perimeter of a rectangular sheet is $100\mathrm{cm}$.

If the length is $35\mathrm{cm}$, find its breadth. Also, find the area.

Q.

The perimeter of a rectangle is $70$ cm. If its length is decreased by $5$ cm and its width is increased by $5$ cm, its area will increase by $50{\mathrm{cm}}^2$c. find the length and the width of the original rectangle?

Q.

There is a rectangle having sides as 20cm and 14 cm respectively. If the length is increased by 2cm and breadth by 3 cm. The increase in area is equal to

1. $96c{m}^2$

2. $94c{m}^2$

3. $92c{m}^2$

4. $98c{m}^2$

Q. The perimeter of the bigger rectangle is 430 ft and smaller rectangle is x - 3y = 30. As per the given information, the area of bigger rectangle is .

1. 3, 562 ${\text{ft}}^2$
2. 3, 016 ${\text{ft}}^2$
3. 8, 016 ${\text{ft}}^2$
4. 8, 816 ${\text{ft}}^2$

Q.

Look at the pattern

$1\times 5=3^2-42\times 6=4^2-43\times 7=5^2-4$

The next lines of the given pattern is equal to

1. $4\times 8=6^2-45\times 9=7^2-4$

2. $4\times 9=6^2-4$

   $5\times 8=7^2-4$

3. $4\times 8=5^2-5$

   $5\times 9=6^2-5$

4. $4\times 8=6^2-5$

   $5\times 9=7^2-6$

Q. The perimeter of the bigger rectangle is 430 ft and smaller rectangle is x - 3y = 30. As per the given information, the area of bigger rectangle is .

1. 3, 562 ${\text{ft}}^2$
2. 3, 016 ${\text{ft}}^2$
3. 8, 016 ${\text{ft}}^2$
4. 8, 816 ${\text{ft}}^2$

Q.

Simplify $(3x^2+5y^2)(4xy-5y)$.

1. $(6x^{3}y-15x^{2}y+10x{y}^3-5y^3)$

2. $(6x^{3}y-15xy+20x{y}^3-5y^3)$

3. $(12x^{3}y-5x^{2}y+10x{y}^3+25y^3)$

4. $(12x^{3}y-15x^{2}y+20x{y}^3-25y^3)$

Q.

An equilateral triangle has length of each edge as $25$cm. If the side of the triangle is increased by $30\%$, then find the increased length of its side.

Q.

The width of a rectangular fence is $5\mathrm{feet}$ less than the length. If the length is decreased by $3\mathrm{feet}$ and the width is increased by $1\mathrm{feet}$ , the area limited by the new fence will be the same as the area of the original fence. Find the dimensions of the original rectangular fence.

Q.

The sides of a rectangle are 4 cm and 3 cm respectively. If the length is increased by 1 cm, then the increase in area will be equal to

1. 3 cm

2. 2 cm

3. 4 cm

4. 5 cm

Q.

The perimeter of a rectangle is $130\mathrm{cm}$.

If the breadth of the rectangle is $30\mathrm{cm}$, find its length. Also, find the area of the rectangle.

Q.

Which of the following correctly explains distributive law?

1. $(a+c)\times b=a\times b+c\times b$

2. $b\times (a+c)=b\times a+b\times c$

3. All of these

4. $a\times (b+c)=b\times a+a\times c$