Lengths of the diagonals of a rhombus are 11.2 cm and 7.5 cm respectively. Find the area of rhombus. *
Answers
Answer:
Rhombus
Solve for area
A=42cm²
p Diagonal
11.2
cm
q Diagonal
7.5
cm
Solution
A=pq
2=11.2·7.5
2=42cm²
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Given information : Lengths of the diagonals of a rhombus are 11.2 cm and 7.5 cm respectively.
To find : The area of the given rhombus.
Solution : Rhombus is a quadrilateral with all sides are equal and opposite sides are parallel.
We know that,
The area of a rhombus is equal to half the product of the lengths of the diagonals. Mathematically;
→ Area of rhombus = 1/2 * d1 * d2
where, d1 and d2 are the lengths of the diagonals of a rhombus.
By substituting the given values in the formula, we get the following results:
→ Area of rhombus = 1/2 * 11.2 * 7.5
→ Area of rhombus = 1/2 * 84
→ Area of rhombus = 1 * 42
→ Area of rhombus = 42cm²
Answer : The area of the rhombus is 42cm².