Find the Area & Perimeter of Irregular Shapes

Name Grade School
Date Questions20 Score

1
Find the area of the given shape
6 in3 in8 in
2
Find the area of the given shape
14 in9 in8 in3 in
3
Find the area of the given shape
10 in5 in13 in8 in
4
Find the area of the given shape
10 in11 in4 in15 in
5
Find the area of the given shape
13 in10 in18 in9 in
6
Find the area of the given shape
15 in9 in5 in12 in
7
Find the area of the given shape
12 in5 in7 in3 in
8
Find the area of the given shape
9 in8 in4 in24 in
9
Find the area of the given shape
13 in8 in9 in3 in
10
Find the area of the given shape
7 in10 in15 in
11
Find the perimeter of the given shape
8 in5 in5 in8 in6 in
12
Find the perimeter of the given shape
10 in4 in10 in18 in
13
Find the perimeter of the given shape
14 in2 in9 in9 in2 in14 in
14
Find the perimeter of the given shape
10 in9 in10 in3 in7 in12 in7 in3 in
15
Find the perimeter of the given shape
7 in2 in5 in6 in5 in2 in7 in2 in5 in6 in5 in2 in
16
Find the perimeter of the given shape
3 in7 in3 in4 in4 in17 in4 in4 in
17
Find the perimeter of the given shape
8 in4 in5 in5 in5 in4 in8 in8 in
18
Find the perimeter of the given shape
14 in6 in7 in10 in7 in6 in14 in6 in7 in10 in7 in6 in
19
Find the perimeter of the given shape
10 in4 in7 in6 in7 in4 in10 in10 in
20
Find the perimeter of the given shape
5 in6 in5 in5 in2 in10 in2 in5 in

Answers Key
Show All Workout
1
Find the area of the given shape
6 in3 in8 in
Area = 82 in2
Solution
6 in3 in8 in
The given Shape = Rectangle (B) + Square (A)
Area of Rectangle (B)= l x b
= 6 x 3 = 18 in
Area of Square (A) = side2
= 82 = 64 in
Area of given Shape = 64 in + 18 in
= 82 in2
2
Find the area of the given shape
14 in9 in8 in3 in
Area = 316 in2
Solution
14 in9 in8 in3 in
The given Shape = 3 Rectangle (A,B,C)
Area of Rectangle A & B = (lxb) + (lxb) = 2(lxb)
= 2 x (14 x 9)
= 252 in
To find the Area of Rectangle C, Find the length of the Rectangle C
Length = 14 - (2 x 3)
= 8 in
Area of Rectangle C = 8 x 8 = 64 in
Area of Given Shape = 252 + 64
= 316 in2
3
Find the area of the given shape
10 in5 in13 in8 in
Area = 154 in2
Solution
10 in5 in13 in8 in
The given Shape = 2 Rectangle (A,B)
Area of Rectangle (A) = 10 x 5
= 50 in
Area of Rectangle (B) = 8 x 13
= 104 in
Area of given Shape = 50 + 104
= 154 in2
4
Find the area of the given shape
10 in11 in4 in15 in
Area = 170 in2
Solution
10 in11 in4 in15 in
The given Shape = 2 Rectangle (A,B)
Area of Rectangle (A) = 10 x 11
= 110 in
Area of Rectangle (B) = 15 x 4
= 60 in
Area of given Shape = 110 + 60
= 170 in2
5
Find the area of the given shape
13 in10 in18 in9 in
Area = 292 in2
Solution
13 in10 in18 in9 in
The given Shape = 2 Rectangle (A,B)
Area of Rectangle (A) = 13 x 10
= 130 in
Area of Rectangle (B) = 9 x 18
= 162 in
Area of given Shape = 130 + 162
= 292 in2
6
Find the area of the given shape
15 in9 in5 in12 in
Area = 195 in2
Solution
15 in9 in5 in12 in
The given Shape = 2 Rectangle (A,B)
Area of Rectangle (A) = 15 x 9
= 135 in
Area of Rectangle (B) = 12 x 5
= 60 in
Area of given Shape = 135 + 60
= 195 in2
7
Find the area of the given shape
12 in5 in7 in3 in
Area = 162 in2
Solution
12 in5 in7 in3 in
The given Shape = 3 Rectangle (A,B,C)
Area of Rectangle A & B = (lxb) + (lxb) = 2(lxb)
= 2 x (12 x 5)
= 120 in
To find the Area of Rectangle C, Find the breadth of the Rectangle C
breadth = 12 - (2 x 3)
= 6 in
Area of Rectangle C = 6 x 7 = 42 in
Area of Given Shape = 120 + 42
= 162 in2
8
Find the area of the given shape
9 in8 in4 in24 in
Area = 184 in2
Solution
9 in8 in4 in24 in
The given Shape = 3 Rectangle (A,B,C)
Area of Rectangle A & B = (lxb) + (lxb) = 2(lxb)
= 2 x (9 x 8)
= 144 in
To find the Area of Rectangle C, Find the breadth & length of the Rectangle C
Breadth = 9 - 4 = 5 in
Length = 24 - (2 x 8) = 8 in
Area of Rectangle C = 5 x 8
= 40
Area of given shape = 144+40
= 184 in2
9
Find the area of the given shape
13 in8 in9 in3 in
Area = 298 in2
Solution
13 in8 in9 in3 in
The given Shape = 3 Rectangle (A,B,C)
Area of Rectangle A & B = (l x b) + (l x b) = 2(lxb)
= 2 xx (13 x 8)
= 208
To find Area of the Rectangle C ,Find breadth
breadth = 13 - 3
= 10 in
Area of the Rectangle C = 9 x 10
= 90 in
Area of the given Shape = 208 + 90
= 298 in2
10
Find the area of the given shape
7 in10 in15 in
Area = 110 in2
Solution
7 in10 in15 in
The given Shape = Rectangle + Triangle
Area of Rectangle = 7 x 10
= 70 in
To find the area of rectangle, Find the base
base = 15 - 7 = 8 in
Area of the triangle =
12
x b x h
=
12
x 8 x 10
= 40 in
Area of the given shape = 70 + 40 in
= 110 in2
11
Find the perimeter of the given shape
8 in5 in5 in8 in6 in
Perimeter = 32 in
Solution
Perimeter = 8 + 5 + 5 + 8 + 6
= 32 in
∴ 32 in is the perimeter of the given shape
12
Find the perimeter of the given shape
10 in4 in10 in18 in
Perimeter = 42 in
Solution
Perimeter = 10 + 4 + 10 + 18
= 42 in
∴ 42 in is the perimeter of the given shape
13
Find the perimeter of the given shape
14 in2 in9 in9 in2 in14 in
Perimeter = 50 in
Solution
Perimeter = 14 + 2 + 9 + 9 + 2 + 14
= 50 in
∴ 50 in is the perimeter of the given shape
14
Find the perimeter of the given shape
10 in9 in10 in3 in7 in12 in7 in3 in
Perimeter = 61 in
Solution
Perimeter = 10 + 9 + 10 + 3 + 7 + 12 + 7 + 3
= 61 in
∴ 61 in is the perimeter of the given shape
15
Find the perimeter of the given shape
7 in2 in5 in6 in5 in2 in7 in2 in5 in6 in5 in2 in
Perimeter = 54 in
Solution
Perimeter = 7 + 2 + 5 + 6 + 5 + 2 + 7 + 2 + 5 + 6 + 5 + 2
= 54 in
∴ 54 in is the perimeter of the given shape
16
Find the perimeter of the given shape
3 in7 in3 in4 in4 in17 in4 in4 in
Perimeter = 46 in
Solution
Perimeter = 3 + 7 + 3 + 4 + 4 + 17 + 4 + 4
= 46 in
∴ 46 in is the perimeter of the given shape
17
Find the perimeter of the given shape
8 in4 in5 in5 in5 in4 in8 in8 in
Perimeter = 47 in
Solution
Perimeter = 8 + 4 + 5 + 5 + 5 + 4 + 8 + 8
= 47 in
∴ 47 in is the perimeter of the given shape
18
Find the perimeter of the given shape
14 in6 in7 in10 in7 in6 in14 in6 in7 in10 in7 in6 in
Perimeter = 100 in
Solution
Perimeter = 14 + 6 + 7 + 10 + 7 + 6 + 14 + 6 + 7 + 10 + 7 + 6
= 100 in
∴ 100 in is the perimeter of the given shape
19
Find the perimeter of the given shape
10 in4 in7 in6 in7 in4 in10 in10 in
Perimeter = 58 in
Solution
Perimeter = 10 + 4 + 7 + 6 + 7 + 4 + 10 + 10
= 58 in
∴ 58 in is the perimeter of the given shape
20
Find the perimeter of the given shape
5 in6 in5 in5 in2 in10 in2 in5 in
Perimeter = 40 in
Solution
Perimeter = 5 + 6 + 5 + 5 + 2 + 10 + 2 + 5
= 40 in
∴ 40 in is the perimeter of the given shape

Area & Perimeter of Irregular Shapes Worksheet

Find the area & perimeter of irregular shapes worksheet with answers for 6th grade math curriculum is available online for free in printable and downloadable (pdf & image) format. Tap on PRINT, PDF or IMAGE button to print or download this grade-6 geometry worksheet to practice how to find the area and perimeter of irregular shapes on 2d-geometry plane.

How to Use this Worksheet

In this sixth grade 2d geometry worksheet, students are required to find the area and perimeter of irregular shapes. The area of irregular shapes can be found by identifying area of number squares, rectangles and triangles forming that shape. The perimeter of irregular shapes can be found by adding all the measurement of length of all sides of that shape in the 2d plane.

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