Answer:
96 cm²
Step-by-step explanation:
The area of a rhombus is usually found as half the product of the diagonals. Here, the lengths of the diagonals are 16 cm and 12 cm, so the area is ...
A = (1/2)(d1)(d2) = (1/2)(16 cm)(12 cm) = 96 cm²
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This is one of the area formulas it is useful to keep handy.
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Here, the area can also be found as 4 times the area of the marked triangle. That triangle's area is ...
A = (1/2)bh = (1/2)(8 cm)(6 cm) = 24 cm²
Four times that area is the are of the rhombus:
rhombus area = 4 × triangle area = 4 × 24 cm² = 96 cm²
