An old man is the owner of a triangular plot of land ABC as shown in the given fig. He divided the whole triangular plot into four parts .The first two parts are two triangles PBS and QRC with dimensions shown in the figure. Note: PQ=20m,PS=10m,QR=10M,SR=20M,BS=10M,RC=10M .
The third part is another triangle APQ where PQIIBC and the fourth part is a rectangle PQRS with dimensions shown in the figure. The old man had one son and one daughter .He donated the triangular part PBS to his daughter and another Part ΔQRC to his son. He kept the upper triangular part APQ for himself. He reserved the space PQRS in the shape of a rectangle for building an old age home ,a nursery for plants and a yoga centre. (a) What type of triangle is ΔABC with respect to angles? (b) What is the total perimeter of the entire ΔABC? (c) Find the area of PQRS? (d) Find the perimeter of PQRS?
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Answer:
a) right angled triangle
b)80+20√2 m
c) area= (20*10) = 200 sq m
d) perameter = 2(20+10) = 60 m
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