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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Verified answer

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.