# AREA OF COMPOUND SHAPES

A compound shape is made up of basic shapes put together. To find area of compound shape, we have to divide the given shape into smaller basic shapes and find their areas separately and add it.

Find the area of compound shapes given below.

Problem 1 :

Solution :

Area of Compound Shapes = Area of rectangle + area of trapezoid

Problem 2 :

Solution :

By drawing the horizontal line in the middle, we get two parallelograms of same measures.

Area of parallelogram = base x height

height of one parallelogram = 26

= 2(35× 26)

= 3640

So, area of the shape is 3640 cm2

Problem 3 :

Solution :

By drawing the horizontal line in the middle, we divide the original shape into rectangle and trapezoid.

Problem 4 :

Solution :

Area of the shape

= area of semi circle + area of rectangle

= (1/2) πr2 + (l × w)

= (1/2) π(2.05)2 + (4.1 × 4.7)

= (1/2) π(4.2025) + 19.27

= 2.10125π +19.27

= 2.10125(3.14) +19.27

= 6.60 + 19.27

= 25.87 cm2

Problem 5 :

Solution :

Area of the shape = area of semi circle + area of triangle

= (1/2) πr2 + (1/2) b × h

= (1/2) π(11)2 + (1/2) x (22) × (16)

= (1/2) π(121) + 176

= π(60.5) + 176

= (3.14) × (60.5) + 176

= 189.97 + 176

= 365.97 cm2

Problem 6 :

Solution :

Area of the shape

= 3(area of semi circle) + area of rectangle

= 3((1/2) πr2)) + (l × w)

= 1.5 x (3.14) × 42 + (8 × 8)

= 1.5 (3.14) × 16 + 64

= 75.36 + 64

= 139.36 cm2

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