Question
Mathematics Question on Area of a Polygon
Find the area of a rhombus whose side is 6 cm and whose altitude is 4 cm. If one of its diagonals is 8 cm long, find the length of the other diagonal.
Answer
Let the length of the other diagonal of the rhombus be x.
A rhombus is a special case of a parallelogram.
The area of a parallelogram is given by the product of its base and height.
Thus, area of the given rhombus = Base × Height
= 6 cm × 4 cm
= 24 cm2
Also, area of rhombus = 21 (Product of its diagonals)
24 = 21(x×8 cm)
x×4=24
x=6 cm
Thus, the length of the other diagonal is 6 cm.