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\ 07-Nov-2024 Bharat Arora Proof-8 Reader’s Sign _______________________ Date __________

Chapter assessment
A. Choose the correct option.

1. If the measure of a side of a regular decagon is 8 cm, then its perimeter is:
(a) 64 cm (b) 80 cm (c) 24 cm (d) 32 cm
2. If two plane figures A and B coincide with each other, then they have:
(a) only equal area (b) only equal perimeter
(c) both equal areas and perimeters (d) none of these
3. A square piece of paper is cut into two identical rectangles. Regardless of the
size of the square paper, which one of the following statements is always true?
(a) The area of each rectangle is larger than the area of the square.
(b) The perimeter of the square is greater than the perimeters of both the
rectangles added together.
1
(c) The perimeters of both the rectangles added together is always 1 times the perimeter of the
square. 2
(d) The area of the square is always three times as large as the areas of both rectangles added together.
CompetenCy Based question

4. The number of square tiles, each of side 90 cm, needed to cover a floor of area 8100 sq. m is:
(a) 10,000 (b) 9000 (c) 900 (d) 90
5. The side of a square is 12 cm. How many times will the new perimeter becomes if the side of the
square is tripled?
(a) 4 times (b) 3 times (c) 5 times (d) 6 times
B. Assertion and Reason Type Questions.
In the following questions, a statement of Assertion (A) is followed by a statement of Reason (R).
Choose the correct option.
(a) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion
(A).
(b) Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of
Assertion (A).
(c) Assertion (A) is true but Reason (R) is false.
(d) Assertion (A) is false but Reason (R) is true.
1. Assertion (A): The perimeter of a square, whose area is 64 sq. m is 32 m.
Reason (R): Perimeter of a square = 4 × length of side and area of a square = side × side.
2. Assertion (A): If a square, a rectangle and a triangle are made from a wire of length 50 cm, their
perimeters will be same.
Reason (R): Side of a square, rectangle and triangle are of same length.
C. State whether the following statements are True (T) or False (F).
1. The cost of levelling a rectangular ground at `1.25 per sq. m is `900. If the length of the ground is
30 metres, then the width is 24 m.
2. If the perimeter of a square is 16 cm, then the area of the square is 16 sq. cm.
3. If two identical squares are joined side by side, then the perimeter of the rectangle so formed is
twice the perimeter of the square.
4. If the length of a rectangle is halved while the breadth is tripled, then there is no change in its area.

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