Area and Perimeter of a Parallelogram

Area: $A = 8 \times 5 = 40 \text{ cm}^2$

Perimeter: $P = 2(6 + 8) = 2 \times 14 = 28 \text{ cm}$

A decorative wall panel has a parallelogram shape with a base of 2.4 m, a perpendicular height of 1.5 m, and slant sides of 1.8 m.

Area to be painted: $A = 2.4 \times 1.5 = 3.6 \text{ m}^2$

If one litre of paint covers 4 m², you need $3.6 \div 4 = 0.9$ litres — so one 1-litre tin is enough.

A rectangular array of solar panels is mounted on a sloped roof. Viewed from the side, the shape appears as a parallelogram with a base of 3.2 m and a perpendicular height of 1.6 m.

$A = 3.2 \times 1.6 = 5.12 \text{ m}^2$

Solar installers use this to estimate energy output — typical panels generate around 150–200 W per m² under standard conditions, so this array could deliver roughly 770–1020 W.

A path is laid using diamond-cut parallelogram slabs, each with a base of 0.6 m and a perpendicular height of 0.4 m.

Area per slab: $A = 0.6 \times 0.4 = 0.24 \text{ m}^2$

To cover a path of $7.2 \text{ m}^2$, the number of slabs needed $= 7.2 \div 0.24 = 30$ slabs.