Question

Find the area of a rhombus whose long diagonals are 8 cm and whose equal sides are 6 cm.

Answer 1

Answer: the area of a rhombus is 16√5 cm²

Explanation:

a=6 cm d=8 cm S=?

`\displaystyle\\S=d\sqrt{a^2-((d)/(2))^2 } \\\\S=8\sqrt{6^2 -((8)/(2))^2}\\\\S=8√(36-4^2) \\\\S=8√(36-16) \\\\S=8√(20)\\\\S=8√(4*5) \\\\S=8(2√(5)) \\\\S=16√(5) \ cm^2`

Answer 2

Area = 24

Explanation:

Area of rhombus =
`\sf (( d_1 × d_2))/(2)`

Area = 8×6/2

Area = 48/2

Area = 24