Use of Algebraic Expressions in Formula of Perimeter of Figures

Q. The ages of two persons differ by 16 years. If 6 years ago, the elder one be 3 times as old as the younger one, find their present ages.

1. 15 years and 31 years
   
2. 12 years and 28 years
   
3. 14 years and 30 years
   
4. 10 years and 26 years

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Question 81

Find the perimeter of the figure given below.

Q.

If $x=t^2$, $y=t^3$, then $\frac{d^{2}y}{d{x}^2}$ equals to ?

1. $\frac{3}{2}$

2. $\frac{3}{4t}$

3. $\frac{3}{2t}$

4. $\frac{3t}{2}$

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Question 79

A school has a rectangular playground with length x and breadth y and a square lawn with side x as shown in the figure given below. What is the total perimeter of both of them combined together?

Q.

The length of a side of the square is given as $2x+3$. Which expression represents the perimeter of the square?

1. $2x+16$

2. $6x+9$

3. $8x+3$

4. $8x+12$

Q.

The distance travelled in taking three rounds of a square park of side $50m$ is ………….. $m$.

Q. The length of a rectangle is $2(x+6)$ cm, and its width is half of its length. What is its perimeter?

1. $6(x-3)$ cm
2. $6(x-6)$ cm
3. $3(x+6)$ cm
4. $(6x+36)$ cm

Q.

Area of a square of side 1 cm has an area equal to the area of _____ number of squares, each of side 1mm.

___

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Question 29

Fill in the blanks to make the statement true.

The unlike terms in perimeters of following figures are ___ and ___.

Q. The length of the side of square is 4x + 5, then the perimeter of the square is given by

1. 4x + 5
2. 16x + 20
3. 8x + 5
4. 4x + 9

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Question 16

Out of the four options, only one is correct. Write the correct answer.

The length of a side of a square is given as 2x + 3. Which expression represents the perimeter of the square?

(a) 2x+16
(b) 6x+9
(c) 8x+3
(d) 8x+12

Q.

Question 11

Out of the four options, only one is correct. Write the correct answer.

The side length of the top of the square table is x. The expression for perimeter is

(a) 4+x
(b) 2x
(c) 4x
(d) 8x

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The perimeter of a square whose side length is 3.25 cm is ______ cm.

___

Q.

Find the perimeter of a triangle whose sides are:

(2a + 3b), (b–a), (4a –2b)

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The perimete of a square is $\left(8a+10\right)cm.$Find the length of side of a square in terms of $a$

Q. The two adjacent sides of a rectangle are $6a+9b$ and $8a-4b$. Find its perimeter.

Q.

Subtract
${\mathrm{x}}^3+2{\mathrm{x}}^2\mathrm{y}+6{\mathrm{xy}}^2-{\mathrm{y}}^3\mathrm{from}{\mathrm{y}}^3-3{\mathrm{xy}}^2-4{\mathrm{x}}^2\mathrm{y}$

Q.

How many segments $xunits$ long, are needed for the perimeter of each figure? Are the shapes same? Are their perimeters same?

Q.

Find the number in the following cases: [4 MARKS]

a) when a number is multiplied by 6 and the product is added with 4 it becomes 54.

b) Adding 6 to 4 times a number gives 88.

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The side length of the top of square table is $x$. The expression for the perimeter of the square table top is ________________.

Q. If the lengths of three sides of a triangle are a, b and c, find the perimeter of the triangle.

1. a+b+c
2. 3(a+b+c)
3. 1/2(a+b+c)
4. 2(a+b+c)

Q. Find the perimeter of the figure given:

Q. Write the following statement in the form of algebraic expressions and write whether it is monomial, binomial or trinomial.
Perimeter of a rectangle with length $p$ and breadth $q$.

Q. If two adjacent sides of a rectangle are $4x+7y$ and $3y-x$, find its perimeter.

Q. $40$cm

Q. The side of a triangle are $2x+3y,x+5y$ and $7x-2y$. Find its perimeter .

Q. $7$cm, $5$cm.

Q. The perimeter of a triangle whose sides measure $2a,b$ and $a+b$ is.......

Q. The side length of the top of the square table is x. The expression for perimeter is ___________.
[2 marks]

Q. Choose the correct pair.

1. $\mathrm{Area}\mathrm{of}\mathrm{rectangle}$
2. $2l+2b$
3. $\mathrm{Perimeter}\mathrm{of}\mathrm{rectangle}$
4. $4\times l$
5. $\mathrm{Perimeter}\mathrm{of}a\mathrm{square}$
6. $l\times b$
7. $\mathrm{Area}\mathrm{of}a\mathrm{square}$
8. $l\times l$