III. Short Answer Questions:
17. The base of a parallelogram is three fourth of its height. If the area is 243sqcm, find the
base and height.
18. If the diagonals of the Rhombus are in the ratio 4:7 and the area is 504sqcm. Find the length of the diagonals.
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Answer:
Given :
Area of trapezium = 368 cm²
Height = 16 cm
One of the parallel sides = 20 cm
To Find :
Length of other parallel side
Solution :
We know that,
→ Area of parallelogram = 2 × Sum of parallel sides x Height
Let the other parallel sides be x :→ 368 = 1/2 × ( 20 + x) × 16
→ 368 = (20 + x) × 8
→ 20 + x = 368 / 8
→ 20 + x = 46
→ x = 46 - 20
⇒ x = 26
Other parallel sides = 26 cm
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