Praxis Core Academic Skills for Educators: Mathematics (5733)GeometryMedium
A craftsman is designing a decorative window pane in the shape of a rhombus. One diagonal of the rhombus measures 16 inches, and the other diagonal measures 12 inches. What is the area of the rhombus?
- A48 square inches
- B192 square inches
- C28 square inches
- D96 square inches
Show answer & explanationAnswer & explanation
Correct answer: D. 96 square inches
The area of a rhombus can be calculated using the formula A = (d1 × d2) / 2, where d1 and d2 are the lengths of the diagonals. Substitute the given diagonal lengths into the formula.
Why the other options are wrong
- A. This is incorrect; it might be half the sum or an incorrect calculation.
- B. This is incorrect; it is the product of the diagonals, not divided by 2.
- C. This is incorrect; it is the sum of the diagonals, not the area.
Area of a Rhombus
The amount of two-dimensional space enclosed by a rhombus, calculated using its diagonals.
- A rhombus is a quadrilateral with all four sides equal in length.
- Its diagonals bisect each other at right angles.
- Area = (d1 × d2) / 2, where d1 and d2 are the lengths of the diagonals.
Memory trick: Rhombus area: 'D'iagonals 'D'ivide by '2' to get the 'Area'!