Algebraic Expressions in Area Formulae

Q. If a rectangle has length 10 cm and breadth 15 cm, then its
area is $c{m}^2$.

1. 100
2. 150
3. 110

Q. The length and breadth of a rectangle are 20 cm and 12 cm respectively. The area of the rectangle is .

1. $240c{m}^2$
2. $120c{m}^2$
3. $200c{m}^2$
4. $340c{m}^2$

Q.

Question 91

What is the area of a square whose side is m cm ?

Q.

You are $5$ years older than your cousin. How old is your cousin when you are $12$ years old? Justify your answer.

Q. The perimeter of a rectangle is 40 m. Its length is four meters less than five times its breadth. Find the area of the rectangle.

1. 
2. 
3. 
4. None of these

Q. Area of a rectangle with length ‘l’ and breadth ‘b’ is ______.

1. $lb$
2. $l+b$
3. $2lb$
4. $(lb{)}^2$

Q.

Solve each of the following equations by trial and error method:

(iii) $3x=18$

Q.

Given that the length of a rectangle is thrice of its breadth and the length of a rectangle is 3m .Find the perimeter of the rectangle?

Q.

Solve each equation using trial and error method

$7x+4=11$

Q. Solve the following equation using the trial and error method.
$2x+4=8$

Q. The length of a rectangle is twice its breadth. If its area is 72 sq m, the breadth of the rectangle is ___ m.

Q. Calculate the area of given compound shape.

Q. Find the area of the rectangle whose sides are:
$12m$ and $21m$.

Q. Solve the given equation:
$\frac{16m}{4}-9=3$

1. 5
2. 12
3. 3
4. 18

Q. Split the following shapes into rectangle and find their areas.(The measures are given in centimeters.)

Q. Find the areas of the following figures by counting square.

Q. Area of a rectangle with length ‘l’ and breadth ‘b’ is ______.

1. $lb$
2. $l+b$
3. $2lb$
4. $(lb{)}^2$

Q. Calculate the approximate area enclosed in the figure if the area of each square is $6\text{sq. units}.$

1. $288\text{sq. units}$
2. $252\text{sq. units}$
3. $270\text{sq. units}$
4. $180\text{sq. units}$

Q. Area of a rectangle of length 6 m and breadth 1 m is

1. $5m^2$
2. $6m^2$
3. $1m^2$
4. $7m^2$

Q.

Translate each of the following statements into an equation using $\mathrm{x}$ as the variables.

One - fifth of a number is $8$.

Q. Look at the figures and write ${}^{\prime }{>}^{\prime }$ or ${}^{\prime }{<}^{\prime }{,}^{\prime }{=}^{\prime }$ between the given pair of fractions.
$\frac{3}{4}\square \frac{2}{6}$.

Q. $\text{What is the value of a if 6(2a - 1) + 8 = 14?}$

1. -1
2. $3\frac{1}{12}$
3. $1\frac{3}{12}$
4. 1

Q. In the given figure, the area of square $ABCD$ is $A$. What is the area of whole figure?

1. $13A$
2. $13A^2$
3. $169A^2$
4. $169A$
5. $5A$

Q. Solve the given equation:
$\frac{16m}{4}-9=3$

1. 5
2. 12
3. 3
4. 18

Q. Solve the given equation:
$\frac{16m}{4}-9=3$

1. 5
2. 12
3. 3
4. 18

Q. Area of a rectangle of length 6 m and breadth 1 m is

1. $5m^2$
2. $6m^2$
3. $1m^2$
4. $7m^2$

Q. The area of a particular square is $25$. A new square is formed by doubling the length of each side of the original square. Find the area of the new square.

1. $24$
2. $75$
3. $50$
4. $100$
5. $25$

Q.

The length of a rectangle is twice its breadth. If its area is 72 sq m, then the breadth of the rectangle is ____.

1. 12 m

2. 24 m

3. 6 m

4. 72 m

Q. Find the area in square piece of cloth with side as $25m$

Q. Find the area of a square plot of side $14m$.