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If you have a rhombus that has been divided into four in this way, each part has an equal area. Each part is also a right-angled triangle, whose perpendicular sides are of lengths 5 and 6 inches (since these will be half the distances of the diagonals of the rhombus). Draw a sketch and you will see that this is the case.

The area of a right-angled triangle is given by:

A = base x height / 2

= 5 inches x 6 inches / 2

= 15 square inches

Since there are four of these triangles, each having an area of 15 square inches, the total area of the rhombus is given by:

A = 4 x 15 square inches

= 60 square inches

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Q: What is the area of a rhombus whose diagonals are 10 and 12 inches?
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