Mathematics[[1]] is the area of the following figure. 

[[1]] is the area of the following figure. 


IMG_256

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    Solution:


    First, we have a rectangle:
    IMG_256
    Length = 8 cm
    Breadth = 5 cm
    Next, we have a trapezium:
    IMG_257
    Height = 5 cm
    Side 1 = 7 cm
    Side 2 = 6 cm
    The last shape we have is a parallelogram:
    IMG_258
    Base = 7 cm
    Height = 5 cm
    So, the area of figure = area of rectangle + area of trapezium + area of parallelogram
    (i.e) A= A R + A T + A P ......(1)  
    As we know that: Area of rectangle:  A R = l×b  
    So, we have
    A R = 8×5 A R =40c m 2 .........(2)  s
    Area of trapezium: A T = 1 2 × sum of parallel sides × height  
    So, we have:
    A T =12×(7+6)×5 A T =32.5c m 2 ......(3)  
    Area of parallelogram: A P = 1 2 × base × height  
     Since,
    A P =12×7×5 A P =17.5c m 2 ......(4)  
    Adding all equations to get the area of the given figure,
    The area of the figure is,
    A=40+32.5+17.5 A=90c m 2  
    Hence, the area of figure is 90c m 2  .
     
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