Area of Shapes

The area of the shapes above are calculated using the formula given.

 

Examples:

 

1. Find the area of the trapezium below:

 

 

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A=\cfrac { 1 }{ 2 } h(a+b)\\ \\ A=\cfrac { 1 }{ 2 } (4)(5+7)\\ \\ A=24{ cm }^{ 2 }

 

 

2. Find the shaded area.

 

 

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Area\quad large\quad rectangle\\ =\quad lb\\ =\quad 8.9\times 12.1\\ =\quad 107.68\quad { cm }^{ 2 }\\ \\ Area\quad small\quad rectangle\\ =\quad lb\\ =\quad 3.7\times 4.2\\ =\quad 15.54\quad { cm }^{ 2 }\\ \\ \therefore \quad Shaded\quad area\\ =\quad 107.69-15.54\\ =\quad 92.15{ cm }^{ 2 }

 

 

3. A park with straight sides of length 126 m and width 54 m has a semi-circular ends. Find its area, correct to 2 decimal places.

 

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