Area of Random Figures

Q. What is the area of the unit square grid?

1. 1 sq. unit
2. 2 sq. unit
3. 3 sq. unit
4. 4 sq. unit

Q. The figures are drawn on a grid of unit squares as shown below. Which shape has an area equal to 5 square units?

1. P
2. Q
3. R
4. S

Q. What is the area of the given figure?
(each square in the grid is a unit square)

1. 9 sq. units
2. 10 sq. units
3. 12 sq. units
4. 13 sq. units

Q. Half of a triangle occupies 2 half grids on a grid sheet of grids, square in shape having an area = 1 $c{m}^2$. What will be the area of the full triangle?

1. $2c{m}^2$
2. $3c{m}^2$
3. $6c{m}^2$
4. $5c{m}^2$

Q. A figure on a grid sheet of grids 1 $m{m}^2$ covers 5 complete grids and 6 more than half grids. Find the area of the figure.

1. 11 $m{m}^2$
2. 8 $m{m}^2$
3. 5 $m{m}^2$
4. 7 $m{m}^2$

Q.

If a rectangle of area 20 sq cm is placed on a grid paper(1 sq cm each) as shown, then how many complete grids did it cover?

1. 20
2. 18
3. 22
4. 16

Q. It is found that a 10 rupees note is occupying 6 small squares. If the area of one square is 1 sq cm, then the area of the note is _____.

1. 5 sq cm
2. 3 sq cm
3. 6 sq cm
4. 7 sq cm

Q. What is the area of the given circle if each grid measures 1 sq cm?

1. 10 sq cm
2. 14 sq cm
3. 20 sq cm
4. 16 sq cm

Q. A rectangle occupies 6 half grids and 6 complete grids. If each grid occupies 1 sq cm, then what is the area of the rectangle?

1. 10 sq cm
2. 12 sq cm
3. 8 sq cm
4. 9 sq cm

Q. A rectangular grid is made up of unit squares as shown in the given figure. What is its area?

1. 6 sq. units
2. 8 sq. units
3. 18 sq. units
4. 24 sq. units

Q. While measuring the area of an irregular shape, using grid method, we ignore the squares which are less than half covered.

1. True
2. False

Q. Danny had his palm impression on a grid sheet and it covers 12 complete grids, 5 more than half grids and 3 less than half grids. If each grid occupies 1 $c{m}^2$ then what is the space occupied by his palm?

1. 12 $c{m}^2$
2. 23 $c{m}^2$
3. 18 $c{m}^2$
4. 17 $c{m}^2$

Q. A leaf, which when placed on a grid sheet with grids of $1c{m}^2$ each, covers 10 half squares and 5 complete square grids. What is the area covered by the leaf?

1. $10c{m}^2$
2. $12c{m}^2$
3. $15c{m}^2$
4. $13c{m}^2$

Q. What is the total area occupied by the two figures A and B if the space occupied by each grid is $0.5m{m}^2$?

1. $12m{m}^2$
2. $8m{m}^2$
3. $6m{m}^2$
4. $10m{m}^2$

Q. A rectangular figure occupies 12 grids when placed on a paper having grids of area 6 sq. cm each.
The area occupied by the rectangular figure is .

1. 45 sq. cm
2. 72 sq. cm
3. 95 sq. cm

Q. Find the area of the given figure, if each small square is a unit square.

Q. A square occupies 8 grids when placed on a grid paper of grids 4 sq cm each. What is the area occupied by the square?

1. 28 sq cm
2. 32 sq cm
3. 36 sq cm
4. 34 sq cm

Q. A method can be used to find the area of different shapes.

1. circle
2. grid
3. line

Q.

A figure, on a grid paper of grids $1$ sq mm each, occupies $60$ complete grids, $20$ exactly half grids and $60$ more than half grids. What is the total space occupied by the figure?

1. $130$ sq mm
2. $150$ sq mm
3. $140$ sq mm
4. $110$ sq mm

Q. What is the area of the given figure?


The area of the smallest square formed by joining 4 dots in the figure is 1 sq unit.

Q. Find the area of a squae having side of 4 cm.

1. 12 ${cm}^2$
2. 11 ${cm}^2$
3. 8 ${cm}^2$
4. 16 ${cm}^2$

Q. Which of the following figure has the least area(assume each small square has unit square area)?

1. 
2. 
3. 
4. 

Q.

Find the area of the shaded portion in this figure.

Q.

In the figure below, what is the ratio of the areas of shaded region I to the shaded region II ?

Q.

In the given figure, if the area of one rectangle is 1 $c{m}^2$, then what is the area of the shaded region?

1. 7 $c{m}^2$

2. 8 $c{m}^2$

3. 20 $c{m}^2$

4. 10 $c{m}^2$

Q.
Find the area of the given figure if each grid occupies 1 sq cm.

1. 12 sq cm
2. 15 sq cm
3. 17 sq cm
4. 22 sq cm

Q. Half of a triangle occupies 2 half grids on a grid sheet of grids, square in shape having an area = 1 $c{m}^2$. What will be the area of the full triangle?

[1 mark]

Q.

In the figure given below, PQSR is a square. Find the area of the unshaded region.

1. $100c{m}^2$

2. $200c{m}^2$

3. $300c{m}^2$

4. $400c{m}^2$