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:
Answer:
The diagonals are 24 cm and 42 cm.
Step-by-step explanation:
Given that:
The diagonals of the rhombus are in the ratio 4:7 and the area is 504 sq.
cm.
To Find:
The length of the diagonals.
Let us assume:
Smaller diagonal be 4x.
Bigger diagonal be 7x.
Formula used:
Area of a rhombus = (D₁ D2)/2
Where,
• D₁ Smaller diagonal of the
rhombus
• D2 = Bigger diagonal of the rhombusFinding the diagonals:
(4x x 7x)/2 = 504
28x² 504 2
28x² = 1008
x² = 1008/28
x² = 36
x² = 6²
x = 6
.. Diagonals are:
Smaller diagonal = 4x = (4 × 6) = 24 cm Bigger diagonal = 7x = (7 x 6) = 42 cm
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