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E:\Working\Focus_Learning\Math_Genius-7_(12-11-2024)\Open_File\13_Chapter\13_Chapter
\ 28-Jan-2025 Surender Prajapati Proof-5 Reader’s Sign _______________________ Date __________
C. Fill in the blanks:
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Chapter assessment 1. The length of the altitude of a parallelogram of base 6 cm and area 30 cm , is ........................... cm.
2. The radius of the circle is 6 cm. The diameter is ............................
3. If the base of a triangle is halved and its height is doubled, then the area of the resulting triangle
is ............................
4. If the radius of a circle is doubled, then the area becomes ............................
5. The circumference of a circle with radius 3.5 cm is ...........................
6. Perimeter of a semicircle is ..........................., where r is the radius of the circle.
D. Answer the following.
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1. The area of a rectangular field is 17.64 m and its length is 3.6m. Find the perimeter of the rectangle.
2. Find the area of the shaded region in the following figures:
(a) 14 cm (b)
A B
28 cm 7 cm
D C
(c) A D (d)
7 cm
4
6 cm 7 cm
4
B 3 cm E 4 cm C
14 cm
(e) 80 cm (f) 10 cm
D R C
r 30 cm
10 cm
S Q 60 cm
A P B
3. The base and the height of a triangle are in the ratio 3 : 4 and its area is 216 m . Find the base and the
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height of the triangle.
4. Find the altitude of a parallelogram whose area is 5.04 m and base is 36 dm.
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5. PQRS is a parallelogram.
(a) If SP = 16 cm, PQ = 24 cm and altitude QN to side SR = 13 cm, find the length of altitude QM to side SP.
(b) If SP = 12 cm, altitude QN to side SR = 8 cm and altitude QM to side SP = 12 cm, find SR.
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