Sarin learns Perimeter, Area and Volume in school part 14(Math Question)

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You can read posting Sarin learns Perimeter, Area and Volume in school(Math Concept) to learn the concept of perimeter, area and volume.

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Upper primary school mathematics question UPQ98

The figure above shows a square ABCD of side 12 cm. Given that AE = CE and BF = CF. Find (a) ∠ EBF and (b) the area of the shaded part.

 

Solution:

                       Since ABCD is a square, ∠ ABC = 900

                       AE = CE and BF = CF, E is the centre point of the square ABCD

                       Hence BE is the bi-sector of ∠ ABC

                       ∠ EBF = 900 ÷ 2 = 450

                     

                           By adding dotted lines as shown in the above diagram

                           The square ABCD is divided into eight equal portions in term of area

                           The area of the square ABCD = 12 × 12 = 144cm2

                           The area of the shaded part = 144 ÷ 8 = 18cm2

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