Algebraic Expressions in Perimeter Formulae

Q.

What Is the formula of finding breadth of Rectangle?

Q.

Question 93

Perimeter of a rectangle is found by using the formula p = 2(l + w), where l and w are respectively the length and breadth of the rectangle. Write the rule that is expressed by this formula in words.

Q.

Question : 6

If the perimeter of a regular hexagon is x metres, then the length of each of its sides is

(a) $x+6$ metres

(b) $x÷6$ metres

(c) $x-6$ metres

(d) $6÷x$ metres

Q.

Question 15

The perimeter of the triangle shown in the figure below is:

(a) 2x + y

(b) x + 2y

(c) x + y

(d) 2x - y

Q.

Question 86

Translate each of the following statement into an equation.

(a) The perimeter (p) of an equilateral triangle is three times of its side (a).

(b) The diameter (d) of a circle is twice its radius (r).

(c) The selling price (s) of an item is equal to the sum of the cost price (c) of an item and the profit (p) earned.

(d) Amount (a) is equal to the sum of principal (p) and interest (i).

Q.

Question 60

Choose a letter x, y, z, p etc...., wherever necessary, for the unknown (variable) and write the corresponding expressions for the given statement:

Area of the rectangle with length k units and breadth n units.

Q. Which of the following is the perimeter of a regular hexagon of side '$s$' units?

1. $12s$ units
2. $6s$ units
3. $6s^2$ sq units
4. $-6s$ units

Q.

Find the value of $c$ in a triangle if the semi perimeter is $13$ and the values of $a$ and $b$ are $8$ and $7$ respectively.

Q. PQR is a triangle with PR = 8cm, RQ = 6 cm and PQ =10 cm.
The perimeter of triangle PQR is cm.

1. 10
2. 16
3. 24

Q. Find the length of the side of an equilateral triangular garden whose perimeter is 66 m.

1. 66 m
2. 11 m
3. 22 m
4. 3 m

Q.

Question 59

Choose a letter x, y, z, p etc ..., wherever necessary, for the unknown (variable) and write the corresponding expressions for the given statement:

The perimeter of an equilateral triangle, if side of the triangle is m.

Q.

Find the length of a side of an equilateral triangular garden whose perimeter is 66 m.

1. 66 m

2. 11 m

3. 22 m

4. 3 m

Q. If the perimeter of a regular hexagon is $x$ metres, then what is the length of each of its sides?

1. $\frac{6}{x}$ metres
2. $2x$ metres
3. $\frac{x}{6}$ metres
4. $6x$ metres

Q.

A rectangular hall has a length of $40m$ and width of $14m$. If the hall is to be tiled using $70cm\times 40cm$ tiles then,

What will be the total cost at the rate of $₹40Pertile?$

Q.

The side of a regular hexagon is $l$. Express its perimeter in terms of $l$.

Q. The breadth of the rectangle is 'b' cm and the length is twice the breadth added to 4. If the length is 8 cm, then what is the perimeter of the rectangle?

1. 20

Q. A cube is a three-dimensional figure as shown in fig. It has six faces and all of them are identical squares. The length of an edge of the cube is given by $l$. Find the formula from the total length of the edges of a cube.

Q.

The perimeter of a triangle with one side $x$ units and two sides $y$ units each is

1. $2x+y$

2. $2x-y$

3. $x+2y$

4. $x-2y$

Q.

The side of the regular hexagon (Figure is denoted by $\mathrm{I}$. Express the perimeter of the hexagon using $\mathrm{I}$ .

Q. Find the length of the rectangle, given that the perimeter is 36 cm and the breadth is 6 cm.

1. $9cm$
2. $10cm$
3. $12cm$
4. $14cm$

Q. Area of each of the following figures is 64 sq.cm.
Match the missing lengths of the figures with their values.

1. 8 cm
2. 4 cm
3. 32 cm

Q. A triangle is shown in the figure below, x and y represent the length of sides.
The perimeter of the triangle is

1. 2x + y
2. x + 2y
3. 2x - y
4. x + y

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.

Question 1

The side of an equilateral triangle is shown by $l$. Express the perimeter of the equilateral triangle using $l$.

Q.

A cube is a three-dimensional figure. It has six faces and all of them are identical squares. The length of an edge of the cube is given by $l$. Find the formula for the total length of the edges of a cube.

Q.

Write the rule using variables for the following situation.

The length of the side of a regular heptagon is denoted by $l$. Express the perimeter $p$ of the heptagon in terms of $l$.

Q. Find the value of $x$ when:
In a triangle each side $x-2$ and perimeter equals to $15$ units

Q.

If the side of a square are double, what will be the effect on its perimeter and the area ?

Q. Match each figure to its area.

1. $50c{m}^2$
2. $6c{m}^2$
3. $9c{m}^2$

Q. The length of a rectangle is $\frac{3x}{2}+1$ and its breadth is $\frac{2x}{3}-1$.

1. $\frac{3x}{2}+\frac{4x}{3}$
2. $\frac{13x}{3}$
3. $5x+4$
4. $\frac{9x}{2}+2$