Page 148 - Maths Skills - 7

146 Maths

6. The measurement of the boundary of a plane D. Case Study Based Questions
figure is known as its: Rahul’s mother intends to decorate his room. She is
(i) area (ii) perimeter considering designing one of the walls, which measures
(iii) both (i) and (ii) (iv) none of these 15 meters in length and 13 meters in breadth. There is

7. Area of a square is given by a painting with dimensions 125 centimetres in length
and 25 centimetres in breadth that his mother would
(i) (side) (ii) (side) 2 like to put on the designed wall.
3
(iii) both (i) and (ii) (iv) none of these Answer the following questions on the basis of the
8. The magnitude of the region enclosed by a plane above data.
figure is called its 1. The price for wallpaper installation is ` 105 per

(i) perimeter (ii) area square meter. What would be the total expense
(iii) both (i) and (ii) (iv) none of these for covering one particular wall with wallpaper?
2. What is the required length of ribbon that is
B. Fill in the Blanks needed to be affixed along the edges of the
1. The area of a parallelogram is equal to ______. painting?
2. Perimeter of an equilateral triangle is ______. 3. Calculate the cost of the ribbon required for

3. The ______ of a circle is equal to 2pr. pasting along the painting if its price is ` 25 per
centimetre.
4. The magnitude of the plane region enclosed by
a simple closed figure is called the ______ of E. Assertion-Reason Based Questions
that figure. Directions for Questions 1 to 3: In each of the

5. 1 hectare = ______ ares = ______ m . questions given below, there are two statements
2
6. Perimeter of a rectangle is equal to ______. marked as Assertion (A) and Reason (R). Mark your
answer as per the codes provided below:
7. Perimeter of a square is equal to ______.
(a) Both A and R are true and R is the correct
C. Write ‘T’ for true and ‘F’ for false statements explanation of A.

1. The standard unit of area is square unit. (b) Both A and R are true but R is not the correct
explanation of A.
2. The area of trapezium is given by
1 (c) A is true but R is false.
2 (b + b ) × h. (d) A is false but R is true.
2
1
3. One revolution of a wheel is equal to the
Q. 1. Assertion (A): Triangles having the same base
circumference of the wheel. have the same area.
4. The diagonals of a square are not equal in length. Reason (R): Area of triangle
1
= × Base × Height
5. The perimeter of a circle is called circumference. 2
Q. 2. Assertion (A): If the radius of circle is doubled

6. For a square of side 4 cm, perimeter and area are then its area becomes 4 times.
both equal. Reason (R): Area of circle (A) = p r 2

7. 1 hectare = 100 ares. Just squared of radius.
8. Area is measured in cubic units. Q. 3. Assertion (A): The diameter of circle is 14 cm.
The area of circle is 154 cm .
2
9. The area of a square of side 8 m is 128 m . p d 2
2
Reason (R): Area of circle = p r =
2
10. 1 m = 10000 cm . 4
2
2