Area of a quadrilateral ABCD is 20cm2 and perpendiculars on BD from opposite vertices are 1cm and 1.5cm. The length of BD is

Q20 of 52 Page 344

Area of a quadrilateral ABCD is 20cm² and perpendiculars on BD from opposite vertices are 1cm and 1.5cm. The length of BD is

Area of the given quadrilateral = (sum of altitudes) × corresponding diagonal.

20 = (1 + 15)BD

BD = 16cm

The area of parallelogram is 60cm² and one of its altitude is 5cm. The length of its corresponding side is

The perimeter of a trapezium is 52cm and its each non-parallel side is equal to 10cm with its height 8cm. Its area is

A metal sheet 27cm long, 8cm broad and 1cm thick is melted into a cube. The side of the cube is

Three cubes of a metal whose edges are 6cm, 8cm, and 10cm respectively are melted to form a single cube. The edge of the new cube is