Page 111 - Maths Skill - 6

Perimeter and Area 109

3. Dhruv was looking at a piece of land in front E. Assertion-Reason Based Questions
of his house. While observation few questions
came into his mind. Give answer to his questions Directions for Questions 1 to 2: In each of the
by looking at the figure. questions given below, there are two statements
marked as Assertion (A) and Reason (R). Mark your
150 m answer as per the codes provided below:

(a) Both A and R are true and R is the correct
100 m explanation of A.

A B (b) Both A and R are true but R is not the correct
120 m explanation of A.
280 m
(c) A is true but R is false.
(d) A is false but R is true.
180 m
Q. 1. Assertion (A) : If the tiles of length 15 cm and
breadth 4 cm required to fit in a rectangular area
of 86 cm × 60 cm then the number of title is 84.
270 m Reason (R) : Region of the surface of a place
(a) What will be the perimeter of the piece of land? covered by a closed figure is called its area.

(i) 1100 m (ii) 1200 m Q. 2. Assertion (A) : A room is 7 m long and 4 m
(iii) 1300 m (iv) 1400 m 50 cm wide. Then 31.5 square meter of carpet
is needed to cover the floor of room.
(b) Dhruv knew about protecting field or land by
fencing. If cost of fencing is ` 150 per metre. Reason (R) : To determine the area, it is essential
that the measuring unit of all sides must be same.
Calculate the cost of fencing the land.
(i) ` 1,00,000 (ii) ` 1,65,000
SUBJECTIVE TYPE QUESTIONS
(iii) ` 1,75,000 (iv) ` 2,50,000
F. Solve the following word problems
(c) What will the area of entire piece of land? 1. Find the cost of fencing a square field of side 24 m
(i) 93,600 m (ii) 75,000 m 2 at the rate of ` 10 per m.
2
2
(iii) 63,600 m (iv) 84,600 m 2 2. Find the distance covered by Tarun if he takes four
(d) If the cost of digging the land is ` 70 per square rounds around a rectangular park whose length is
meter. Calculate the amount to be paid for 150 m and breadth is 100 m. Also find how many
digging complete piece of land. rounds should he run to cover a distance of 5 km?
(i) ` 63,42,000 (ii) ` 52,50,000 3. Rekha runs around a square park of side 180 m and

(iii) ` 44,52,000 (iv) ` 59,22,000 Pinky runs around a rectangular park whose length
is 240 m and breadth is 160 m. Who covers the
(e) Dhruv’s house is in shape of a rectangle having longer distance and by how much?
length 550 m and breadth 220 m. Find whether
area of Dhruv’s house is greater than area of 4. A carpet 3 m 10 cm long and 2 m 20 cm broad is to be
piece of land and by how much? covered by a ribbon along its boundaries. Find the
length of the ribbon required. Also find the cost if
2
(i) Greater by 57,400 m 1 m ribbon costs ` 25.
(ii) Smaller by 57,400 m 2 5. A boy has to run a race of 1200 m around a
(iii) Greater by 63,500 m rectangular field. If the length of field is 70 m and
2
(iv) Smaller by 63,500 m 2 the breadth is 30 m, how many times does he run
around the field?