Perimeter and Area Test - 2

Area of Parallelogram = b x h
b = 420 m h =3.6 dam = 36 m ∴ 1 dam = 10 m
Area of paralellogram = 420 x 36 = 15120
cost of waterin in Rs. = 15120 x 0.10    ∴1 Rs. = 100 Paisa
                                  = 1512 Rs.

Area of rectangle =l×b=30×20 =600cm²
Area of ΔDGF  =12×b×h =75cm²
Similarly area of ΔAGE=75cm²
Area of unshaded region =600−(75+75)cm² =450cm²

The diagonal of Parallelogram bisects it in two equal parts or two congruent triangles . So area of any trialgles is half of the area of parallelogram. Hence, the ratio of areas of parallelogram ABCD and ΔABC is 2:1

Dimensons of field - L=500m b=100m
Wire required for fencing field one time = 2 (l+b) = 2 (500+100) = 2 x 600 = 1200 m
Four time fencing Length = 4 x 1200 = 4800 m

( πd²)/4 =2464 ⇒  d=√3136 =56m

Area of Triangle = 1/2 x b x h
^{672 =1/2 x 24 x h
672 = 12h
h= 672/12
56 cm}