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Area of Square and Rectangle

We look at composite shapes that involve calculating the area of square and rectangle to get the area of the overall shape.

Example 1: What is the area of the shaded part in this figure?

As we can see, this shape is comprised of two rectangles, so its area is the sum of the areas of the two rectangles. Let A1 and A2 be the areas of the larger and smaller rectangles respectively.

A1  =  l x b       area of rectangles=38 sq cm

  =  8 x 4

  =  32 cm2

A2  =  3 x 2

  =  6 cm2

A  =  A1 + A2

  =  32 + 6

  =  38 cm2

 

Example 2: What is the area of the shaded part in this figure?

Here the area of the shaded part is the area of the rectangle less the area of the square. Let A1 and A2 be the areas of the rectangle and square respectively.

A1  =  l x b          area of square and rectangle=87 sq mm

  =  14 x 8

  =  112 cm2

A2  =  5 x 5

  =  25 cm2

So the area of the shaded part

A  =  A1 – A2

  =  112 – 25

  =  87 cm2