Question

In a parallelogram the base and tge corresponding altitude are in the ratio of 4:5 and its area is 120 cm2 find the measure of its base and altitude

Answer 1

Here is your answer.

Area of parallelogram = base × altitude

$120 {cm}^{2} = base \: \times \: altitude$

base and altitude is in ratio of 4:5 than

$120 = 4x \times 5x \\ 120 = 20x \\ \frac{120}{20} = x \\ x = \frac{12}{2} \\ x = 6 \: cm$

base = 4x = 4×6 = 24 cm

altitude = 5x = 5 × 6 = 30 cm

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