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Find the area of the rhombus ABCD if AC=17cm and DB=16cm.

Find the area of the rhombus ABCD A B C D if AC=17 cm A C=17 \mathrm{~cm} and DB=16 cm D B=16 \mathrm{~cm} .

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Full solution

Q. Find the area of the rhombus ABCD A B C D if AC=17 cm A C=17 \mathrm{~cm} and DB=16 cm D B=16 \mathrm{~cm} .
  1. Understand Formula: First, we need to know the formula for the area of a rhombus, which is (diagonal1×diagonal2)/2(\text{diagonal}_1 \times \text{diagonal}_2) / 2.
  2. Plug in Values: Now, let's plug in the values for the diagonals ACAC and DBDB into the formula. So, Area=(17 cm×16 cm)/2\text{Area} = (17 \, \text{cm} \times 16 \, \text{cm}) / 2.
  3. Perform Multiplication: Doing the multiplication, we get Area=272 cm22\text{Area} = \frac{272 \, \text{cm}^2}{2}.
  4. Calculate Final Area: Finally, divide 272 cm2272\,\text{cm}^2 by 22 to get the area of the rhombus. Area = 136 cm2136\,\text{cm}^2.

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