Perimeter

Q. A farmer has a rectangular field of length and breadth 240 m and 180 m respectively. He wants to fence it with 3 rounds of rope as shown in given figure. What is the total length of rope he must use?

Q.

Question 31

Bajinder runs ten times around a square track and covers 4 km. Find the length of the track.

Q. The length of a rectangle is three times its breadth if the area of the rectangle is 1875 sq.cm, find its perimeter. Answer should be 200 cm.

Q.

The sum of all the sides of a closed figure is called its___ .

Q.

Two regular hexagons of perimeter $30cm$ each are joined as shown in the given figure. The perimeter of the new figure is

(a) $65cm$

(b) $60cm$

(c) $55cm$

(d) $50cm$

Q.

How many elements does a triangle has?

Q. Ravi grew tomatoes and marigolds on his square field of side 30 m. If he used half the field for each of his crops, find the area used to grow the tomatoes.

1. 450 cm${}^2$
2. 900 m${}^2$
3. 60 m${}^2$
4. 45, 00, 000 cm${}^2$

Q. The unit of perimeter is the same as the unit of length. State true or false.

1. True
2. False

Q. Find the cost of fencing a rectangular park 300 m long and 200 m wide at the rate of ₹4 per metre.

Q.

The unit of perimeter is the same as the unit of length.

1. True

2. False

Q. Which of the following figures has a greater perimeter?

Q.

The perimeter of a rectangle whose length is 10 cm and breadth is 5 cm is ___ cm.

1. 30

2. 20

3. 40

4. 10

Q.

Question 2

A square shaped park ABCD of side 100 m has two equal rectangular flower beds each of size 10 m $\times$5 m (see the figure). Length of the boundary of the remaining park is

(a) 360 m

(b) 400 m

(c) 340 m

(d) 460 m

Q. Apala went to a park 20 m long and 10 m wide. She took one complete round of it, then find the distance covered by her.

Q. An athlete takes 10 rounds of a rectangular park, 50 m long and 25 m wide. Find the total distance covered by him.

Q. Find the longest tape which can be used to measure exactly the lengths 700cm, 385 CM and 1295 cm

Q.

Length and breadth of a rectangular sheet of a paper are $20cm$ and $10cm$, respectively. A rectangular piece is cut from the sheet as shown in the given figure. Which of the following statements is correct for the remaining sheet?

(a) Perimeter remains the same but area changes

(b) Area remains the same but perimeter changes

(c) Both area and perimeter are changing

(d) Both area and perimeter remain the same

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Question 78

Draw all the diagonals of a pentagon ABCDE and name them.

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Question 39

What is the length of outer boundary of the park shown in the given figure? What will be the total cost of fencing it at the rate of Rs 20 per metre? There is a rectangular flower bed in the center of the park. Find the cost of manuring the flower bed at the rate of Rs 50 per square metre.

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Question 24

There is a rectangular lawn 10 m long and 4 m wide in front of meen's house (see the figure). It is fenced along the two smaller sides and one longer side leaving a gap of 1 m for the entrance. Find the length of fencing.

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Question 1

Follow ing figures are formed by joining six units squares. Which figure has the smallest perimeter in figures?

(i) (ii) (iii) (iv)

(a) (ii)

(b) (iii)

(c) (iv)

(d) (i)

Q.

Question 40

Total cost of fencing the park shown in the given figure is ₹55000. Find the cost of fencing per metre.

Q. Riya runs around a square park of side 75 m, while Rima runs around a rectangular park with length 60 m and breadth 45 m. Who covers lesser distance and by how much?

1. Riya, 90 m
2. Rima, 90 m
3. Rima, 100 m
4. Riya, 80 m

Q.

The amount of surface covered by a closed shape is called its _____________.

Q. Two sides of a parallelogram are in the ratio 5:4 if the perimeter is 72cm find the length of its sides

Q.

Describe the intersection of the plane and the solid.

Q. A rectangular park has a length of 10 m and a breadth of 5 m. Find the cost of fencing the park at the rate of ₹ 10 per metre.

1. ₹300
2. ₹150
3. ₹1, 200
4. ₹600

Q. Area of a rectangle with length ‘l’ and breadth ‘b’ is ______.

1. $lb$
2. $l+b$
3. $2lb$
4. $(lb{)}^2$

Q.

Solve the following problems:

The perimeter of an isosceles triangle is $48\mathrm{cm}$. If the length of the unequal side is $17\mathrm{cm}$, find the length of other two equal sides.

Q.

An engineer, who plans to build a compound wall on all sides of a house, will need its:

1. Area

2. Perimeter

3. Breadth

4. Length