Area of Irregular Shapes

Q. Find the area of the polygon given below.

1. $90c{m}^2$
2. $60c{m}^2$
3. $10c{m}^2$
4. $100c{m}^2$

Q. Each side of a given square tile is 12 cm. How many tiles will be needed for tiling the floor of a room 18 m wide and 24 m long?

1. 3, 000
2. 30, 000
3. 2, 400
4. 24, 000

Q. If the area covered by the purple square in the given figure is 2 sq. units, what is the area covered by green region in the figure?

Q. Find the area of the composite figure given below.

1. 252 sq yd
2. 306 sq yd
3. 412 sq yd
4. 176 sq yd

Q. Match the shapes to their areas with using grids if each square occupies an area of 1 sq cm.

1. 3 sq cm
2. 2 sq cm
3. 6 sq cm

Q. What is the perimeter of the figure given below?

1. 15 cm
2. 16 cm
3. 17 cm
4. 18 cm

Q. If each square in the grid occupies an area of 1 sq units, then what is the area of the irregular shape?

1. 23

Q. Fez is trying to build a dollhouse with the shapes given below. If the outside perimeter of the dollhouse is 114 cm, pick the correct shape.

1. (i)
2. (ii)
3. (iv)
4. (iii)

Q. If each square in the grid occupies an area of 1 sq units, then what is the area of the irregular shape?

1. 23

Q. If the area covered by the colored region, is 100 sq. cm, what is side(in cm) of each square in the grid?

1. 1
2. 4
3. 2
4. 25

Q.

What is the area of the given figure, if the area of 1 small square is 1 sq unit?

1. 25 sq units

2. 12 sq units

3. 10 sq units

4. 20 sq units

Q. What is the perimeter of a five sided closed figure with each side measuring 5 cm?

1. 25 cm
2. 20 cm
3. 30 cm
4. 28 cm

Q.

A rectangle having a length and width of 16 in and 4 in, respectively, has the same area as that of a square. Calculate the length of each side of the square.

1. 12 inches
2. 8 inches
3. 16 inches
4. 4 inches

Q. An irregular figure occupies 15 $c{m}^2$ on a grid sheet. It covers 12 complete grids, 3 less than half grids and some grids more than half. If each grid occupies 1 $c{m}^2$ then how many grids are covered more than half by the figure?

1. 1
2. 2
3. 3
4. 4

Q. Calculate the approximate area of following irregular figure. Let each square in square grid has side length of 1 cm. Compare this area with the area of rectangle having area of 12 sq. cms..

1. Area of rectangle is greater by 3 sq.cm
2. Area of irregular figure is greater by 15 sq.cm
3. Area of irregular figure is greater by 3 sq.cm
4. Area of both the figures is same

Q.

What is the area of the given figure, if the area of 1 small square is 1 sq unit?

1. 25 sq units

2. 12 sq units

3. 10 sq units

4. 20 sq units