A rhombus has diagonals of 15 cm and 20 cm. Find its area?
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Answer: C. 150 sq m
Explanation
The area of a rhombus is calculated as one half multiplied by the product of its two diagonals. Multiplying diagonal one by diagonal two gives three hundred total square units. Dividing three hundred by two yields the final area of one hundred fifty square units. Rhombuses are special quadrilaterals whose diagonals intersect perpendicularly at their exact midpoints. Diagonal measurements completely determine the total enclosed surface area of any geometric rhombus. Multiplying perpendicular dimensions is a standard method for calculating quadrilateral surface areas.
Tile designers use rhombus geometry to create intricate repeating mosaic patterns on floors and walls. Structural framing elements often utilize diamond shapes for aesthetic and load-bearing efficiency. Calculating quadrilateral areas is essential in land surveying and civil engineering mapping projects. Option A suggests one hundred twenty square units which underestimates the diagonal product calculation. Option B suggests three hundred square units which forgets to divide the diagonal product by two. Option D suggests four hundred eighty square units which is far too large for the given diagonals.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
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