Answer :

**To Find:** Area of the parallelogram

**Given:** Adjacent sides of parallelogram ABCD: 34 cm and 20 cm

Length of the diagonal = 42 cm

**Concept Used:**

If sides of a triangle are a, b, and c, then area of a triangle is given by:

Where s = semiperimeter of the triangle

**Diagram:**

**Explanation:**

The diagonal of a parallelogram divides the parallelogram into two congruent triangles.

Therefore,

Area of Δ ADC = Area of Δ ABC

Let us calculate area of Δ ABC

s = 48 cm

Area = 4 × 6 × 7 × 2 cm^{2}

Area = 336 cm^{2}

Now, Area of parallelogram ABCD = 2 × 336 cm^{2}

**Hence, Area of parallelogram = 672 cm ^{2}.**

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