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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Let the height of the parallelogram be h cm and base be b cm.
According to the question h=31b
Area of parallelogram =base × height
b×h=192
⇒b×31b=192
⇒b2=192×3
⇒b2=576
⇒b=576
⇒b=24cm
But given h=31b
⇒h=31×24
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