Perimeter of Rectangle

Q.

The length of a rectangular notebook is 15 cm and the perimeter is 50 cm. Find the width and area of the notebook.

1. 8 cm
2. 9 cm
3. 10 cm
4. 11 cm

Q.

Two rectangular plots of length 40 m and width 20 m are as shown below.


What is the cost of fencing the plots (excluding the common boundary) at ₹ 4 per metre?

1. ₹ 16000

2. ₹ 1600

3. ₹ 640

4. ₹ 6400

Q. If the length and breadth of a rectangle are doubled, then its perimeter ____.

1. triples
2. doubles
3. becomes half
4. becomes 4 times

Q.

Find the ratio of perimeters and areas of lands ABCD to ABFE. (Given AE = 2AD)

1. Perimeter ratio = 1 ; Area ratio = $\frac{1}{2}$

2. Perimeter ratio = $\frac{(x+y)}{2(x+2y)}$ ; Area ratio = $\frac{1}{2}$

3. Perimeter ratio = $\frac{(x+y)}{(x+2y)}$ ; Area ratio = 1

4. Perimeter ratio = $\frac{1}{2}$ ; Area ratio = 1

Q.

A rectangular portion is cut off from a rectangular sheet (figure 1) as shown in figure 2. Find the perimeter of the sheet shown in figure 2.

1. 20 m

2. 15 m

3. 17.5 m

4. 10 m

Q.

Statement 1: Perimeter of a rectangle is 2 (length of one side + length of adjacent side).

Statement 2: Perimeter of any parallelogram can be given by 2 (length of one side + length of adjacent side).

Pick the correct option.

1. Statement 1 is true and Statement 2 is false.

2. Both the statements are true and Statement 1 is a particular case of Statement 2.

3. Both the statements are true and Statement 2 is a particular case of Statement 1.

4. Statement 2 is not always true but Statement 1 is always true.

Q. A figure is formed by placing two squares as shown below.

If the length of side of each square is 8 cm, then what is the perimeter of the figure?

1. 48 cm
2. 64 cm
3. 32 cm
4. 56 cm

Q. The length of a rectangle is 40 cm. If its breadth is half the length, the perimeter is

1. 1200 cm
2. 1.2 cm
3. 120 cm
4. 120 m

Q. The perimeter of a rectangle having length and breadth as 8 cm and 6 cm respectively is equal to

1. 14 cm
2. 28 cm
3. 21 cm
4. 35 cm

Q. Roopa has cut a sheet of paper into the shape of a square and a rectangle, in such away that the area of the square and the rectangle are equal. If the side of the square sheet is 20 cm and the breadth of the rectangular sheet is 10 cm, find the length of the rectangular sheet.

1. 20 cm
2. 30 cm
3. 40 cm
4. 50 cm