Find the Area of Irregular Shapes

Name Grade School
Date Questions10 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

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

Finding the Area of Irregular Shapes Worksheet

Find the area 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 of irregular shapes on 2-dimensional plane.

How to Use this Worksheet

In this sixth grade 2d geometry worksheet, students are required to find the area of irregular figures using the measurements. Each irregular shape in the worksheet is composed of squares, rectangles and triangles. Therefore, identify the squares, rectangles and triangles in the irregular shapes, find the area of identified shapes and add all the areas of identified shapes provide the total area of irregular shapes.

Answers Key

Teachers, tutors, parents or students can check or validate the solved questions by using the corresponding answers key which comprises the step by step work on how to find the area of irregular shapes.

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