Let each of the equal sides of the rhombus be a cm. Then,
Perimeter = a + a + a + a = 4a m According to the question,
4a = 200
∴ Area of the rhombus
For ΔABC
a = 36.5 cm b = 55 cm c = 36.5 cm
Area of the ΔABC
∴ Area of the rhombus ABCD
= 2 Area of the ΔABC = 2 x 660 = 1320 cm2
∴ Length of the other diagonal is 48 cm.
For ΔABC, a = 34 cm b = 42 cm c = 20 cm
∴ Area of ΔABC
∴ Area of parallelogram ABCD
= 2 Area of triangle ABC
= 2 x 336 cm2 = 672 cm2
For triangle
a = 15 cm b = 14 cm c = 13 cm
Let the height of the parallelogram be h cm. Then, area of the parallelogram
= Base x Height = 15 x h = 15h cm2 According to the question,
Area of the parallelogram
= Area of the triangle
Hence, the height of the parallelogram is 5.6 cm.
For ΔACD
a = 28 m b = 41 m c = 15 m
Area of the quadrilateral ABCD
= Area of ΔABC + Area of ΔACD
= 180 m2 + 126 m2 = 306 m2.