1 Mark Question

Question 11 Mark

Find the side of the square whose perimeter is:
16m

Answer

Side of a square = Perimeter 4
Perimeter = 16m
Side of this square $=\frac{16}{4}$
$=4\text{m}$

Question 21 Mark

Fill in the blanks:
The length and breadth of a rectangle are 12cm and 5cm, respectively, then its diagonal is ________ cm.

Answer

The length and breadth of a rectangle are 12cm and 5cm, respectively, then its diagonal is 13 cm.Solution:
We have, Length of the rectangle = 12cm and
Breadth of the rectangle = 5cm
Now, the diagonal of the rectangle $=\sqrt{(\text{Length})^{2}+(\text{Breadth})^{2}}$
$=\sqrt{12^{2}+5^{2}}$
$=\sqrt{144+25}$
$=\sqrt{169}$
$=13\text{cm}$

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Question 31 Mark

Find the perimeter of the following shape:

Answer

Perimeter = Sum of lengths of all sides of a closed figure.

Perimeter = (3 + 3 + 3 + 3 + 3)cm = 15cm

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Question 41 Mark

Which of the following are closed curves? Which of them are simple?

Answer

Closed curves: Figure (ii), (iii), (iv), (vi), and (vii) are closed curves.

Simple closed curves: whereas Figure (ii), (iii), (iv) and (vi) are simple closed curves.

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Question 51 Mark

Fill in the blanks:
The area of a rectangle is $120\ cm^2$, If the breadth is 6cm, then its length is _________.

Answer

The area of a rectangle is $120\ cm^2$, If the breadth is 6cm, then its length is 60m.Solution:
We have,
Area of the rectangle = $120\ cm^2$ and
Breadth of the rectangle = $6\ cm$
As, the length of the rectangle $=\frac{\text{Area}}{\text{Breadth}}$
$=\frac{120}{6}$
$=20\text{cm}$

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Question 61 Mark

Fill in the blanks:
The perimeter of a square $16\ cm$, then its area is ________ $cm^2$.

Answer

The perimeter of a square 16cm, then its area is $16\ cm^2.$
Solution:
As, the perimeter of the square =$16cm\ $
So, the side of the square $=\frac{\text{Perimeter}}{4}$
$=\frac{16}{4}$
$=4\text{cm}$
Now, the area of the square = $(Side \times Side)$
$= 4 \times 4$
$= 16\ cm^2$

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Question 71 Mark

Find the perimeter of the following shape:

Answer

Perimeter = Sum of lengths of all sides of a closed figure.

Perimeter = (23 + 35 + 40 + 35)cm = 133cm

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Question 81 Mark

Find the perimeter of the following shape:

Answer

Perimeter = Sum of lengths of all sides of a closed figure.

Perimeter = (15 + 15 + 15 + 15)cm = 60cm

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Question 91 Mark

Fill in the blanks:
The perimeter of a square whose area is $225 m^2$ is ________.

Answer

The perimeter of a square whose area is $225 m^2$ is $60\ m .$
Solution:
As, the area of the square $=225 m^2$
So, the side of the square $=\sqrt{\text { Area }}$
$=\sqrt{225}$
$=15 m$
Now, the perimeter of the square $=4 \times$ Side
$=4 \times 15$
$=60 m$

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Question 101 Mark

Define perimeter of a closed figure.

Answer

The length of the boundary of a closed figure is known as its permieter.

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Question 111 Mark

Find the perimeter of the following shape:

Answer

Perimeter = Sum of lengths of all sides of a closed figure.

Perimeter = (4 + 2 + 1 + 5)cm = 12cm.

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Question 121 Mark

Fill in the blanks:
If the ratio between the length and perimeter of a rectangular plot is 1 : 3, then the ratio between the length and breadth of the plot is _________.

Answer

If the ratio between the length and perimeter of a rectangular plot is 1 : 3, then the ratio between the length and breadth of the plot is 2 : 1.Solution:
Let the length of the rectangular plot be x and its perimeter be 3x.
As, the breadth of the rectangular plot $=\Big(\frac{\text{Perimeter}}{2}\Big)-\text{Length}$
$=\frac{3\text{x}}{2}-\text{x}$
$=\frac{3\text{x}-2\text{x}}{2}$
$=\frac{\text{x}}{2}$
Now, the ratio between the length and breadth of the plot $=\frac{\text{Length}}{\text{Breadth}}$
$=\frac{\text{x}}{\big(\frac{\text{x}}{2}\big)}$
$=\frac{2\text{x}}{\text{x}}$
$=\frac{2}{1}$
$=2:1$

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