Question

The the adjacent sides of a parallelogram are 12 cm and 8 cm. The height of the parallelogram corresponding to the longer side is 6cm. Find the area of the parallelogram. Also find the height of the parallelogram corresponding to shorter side

Answer 1

Let l = 12 cm and height corresponding to it, h1 = 6cm
b = 8cm and height corresponding to it, h2

Area = l × h1
= 12 × 6
= 72 cm^2

Area = b × h2
72 = 8 × h2
h2 = 9 cm

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Answer 2

Adjacent sides are 12 cm and 8 cm
Height corresponding to longer side (12 cm) = 6 cm

Area of parallelogram = base × height
Area of parallelogram = 12 × 6 = 72 sq. cm

Area of parallelogram = base × height
72 = 8 × height
72/8 = height

So, height corresponding to shorter sides = 9 cm