Question

The adjacent sides of a parallelogram are 48cm and 36cm if the distance between shorter sides is 16cm find the distance between the longer sides

Answer 1

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Adjacent sides of a parallelogram = 48 cm and 36 cm .

Distance between the shorter sides = 16 cm

Distance between longer sides = ?

Now,

Distance between the shorter sides is the height corresponding to the shorter side as the base.

So,

Area of parallelogram = base × height

= (36 × 16) cm²

= 576 cm²

Again,

Distance between the longer sides is the height corresponding to the longer side as the base.

So,

48 × height = 576

=> height = 576/48

=> height = 12 cm

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Answer 2

Adjacent sides of a parallelogram = 48 cm and 36 cm .

Distance between the shorter sides = 16 cm

Distance between longer sides = ?

Now,

Distance between the shorter sides is the height corresponding to the shorter side as the base.

So,

Area of parallelogram = base × height

= (36 × 16) cm²

= 576 cm²

Again,

Distance between the longer sides is the height corresponding to the longer side as the base.

So,

48 × height = 576

=> height = 576/48

=> height = 12 cm