Find the length of a side of a rhombus whose diagonals are 6cm and 8cm

In the diagram, \(\overline{PQ//RS}\) is a trapezium with QR//PS. U and T are points on \(\overline{PS}\) such that \(\overline{|PU|}\) = 5 cm,

\(\overline{|QU|}\) = 12 cm and ∠PUQ= ∠STR =90°. If the area of PQR = 20 cm\(^2\),

calculate, correct to the nearest whole number, the:

(a) perimeter; (b) area; of the trapezium

A rectangular pyramid has an area 24cm\(^2\) and height 7.5cm. Find its volume?

The lengths of the parallel sides of a trapezium are 9cm and 12cm. If the area of the trapezium is 105cm\(^2\), find the perpendicular distance between the parallel sides.

Find the volume of a cone of radius 3.5cm and vertical height 12cm. [Take π = 22/7]