PERIMETER OF RHOMBUS WORKSHEET

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Find the perimeter of each rhombus.

Problem 1 :

Solution

Problem 2 :

Solution

Problem 3 :

Solution

Problem 4 :

Solution

Problem 5 :

Solution

Problem 6 :

Solution

Problem 7 :

Find the perimeter of the rhombus, if its side is 18 feet long.

Solution

Problem 8 :

Determine the perimeter of the rhombus whose side length is 9 yards.

Solution

Problem 9 :

The diagonals of a rhombus are 6 cm and 8 cm respectively. Find the length of the sides of the rhombus. Also find its perimeter.

Solution

Problem 10 :

The area of rhombus is 150 cm2. The length of one of its diagonals is 10 cm. The length of the other diagonal is :

a)  25 cm   b) 30 cm   c)  35 cm   d)  40 cm

Solution

Problem 11 :

One of the diagonals of a rhombus us double the other diagonal. Its area is 25 square cm. The sum of the diagonals is :

a)  10 cm    b)  12 cm   c)  15 cm   d)  16 cm

Solution

Problem 12 :

The perimeter of the rhombus is 56 m and its height is 5 m. Its area is 

a) 64 sq.m    b)  70 sq.m    c)  78 sq.m    d 84 sq.m

Solution

Problem 13 :

If the diagonals of the rhombus are 24 cm and 10 cm, the area and the perimeter of the rhombus are 

a) 120 cm2, 52 cm    b)  120 cm2, 64 cm     c) 240 cm2, 52 cm    d)  240 cm2, 64 cm 

Solution

Problem 14 :

The perimeter of the rhombus is 40 cm. If one of the diagonal is 8 cm, then what is the area of  the rhombus ?

Solution

Answer Key

1)  20 ft

2)  48 yd

3)  40 in

4)  60 yd

5)  56 in

6)  16 ft

7)  72 ft

8)  36 yd

9) the side length of the square is 5 cm.

10) the length of the other diagonal is 30 cm, option b is correct.

11)  15 cm

12) 70 square cm

13) the required area is 120 sq.cm and perimeter is 52 cm. Then option a is correct.

14) 16√21 square cm

 Find the value of x in each rhombus.

Problem 1 :

Solution

Problem 2 :

Solution

Problem 3 :

Solution

Problem 4 :

Solution

Problem 5 :

Solution

Problem 6 :

Solution

Problem 7 :

Solution

Problem 8 :

Solution

Problem 9 :

The diagonals of a rhombus are 6 cm and 8 cm respectively. Find the length of the sides of the rhombus. Also find its perimeter.

Solution

Problem 10 :

In rhombus PINK, PI = 3x + 7 and IN = x + 19, what is the value of NK?

Solution

Problem 9 :

The area of the rhombus shaped field is 5544 m2 and length of one diagonal is 72 m, what will be the perimeter of the field 

a)  380 m   b)  300 m   c)  340 m   d)  320 m

Solution

Answer Key

1)  x = 6

2)  x = 42

3)  x = 15

4)  x = -11

5)  x = 11 and y = 30

6) x = -14 and y = 14.

7) x = 15 and y = 3

8) x = 13 and y = 20.

9) 20 cm

10) the side length of rhombus is 25 units.

11)  the perimeter of the field is 340 m. Option c is correct.

Problem 1 :

Side length = 2 yd

Diagonal = _______

Solution

Problem 2 :

Side length = 53 ft

Diagonal = _______

Solution

Problem 3 :

Side length = 17.3 in

Diagonal = _______

Solution

Problem 4 :

Side length = 95 yd

Diagonal = _______

Solution

Find the length of the diagonal of each square. Round your answer to the nearest tenth.

Problem 5 :

diagonalofsquareq1

Solution

Problem 6 :

diagonalofsquareq2

Solution

Problem 7:

diagonalofsquareq3

Solution

Problem 8 :

diagonalofsquareq4

Solution

Problem 9 :

The side length of a square is 22 yards. What is the length of the diagonal?

Solution

Problem 10 :

The diagonals of two squares are in the ratio of 2 : 5. Find the ratio of their areas.

Solution

Problem 11 :

If length of diagonal of a square is 20 cm, then its perimeter is ________

Solution

Problem 12 :

 A rectangular carpet has area 120 square meters and perimeter 46 meters. The length of its diagonal is ___________ .

Solution

Problem 13 :

If diagonal of a rectangle is thrice its smaller side, then find the ratio of its length and width.

Solution

Problem 14 :

If diagonal of one square is double the diagonal of another square, then find the ratio of their areas.

Solution

Problem 15 :

The length of the diagonal of a square is 50. Find the perimeter of a square.

Solution

Answer Key

1) Diagonal = 2.8 yd

2) Diagonal = 75 ft

3) Diagonal = 24.5 in

4) Diagonal = 134.4 yd

5) Diagonal = 68.9 ft

6) Diagonal = 45.3 in

7) Diagonal = 99 yd

8) Diagonal = 125.2 ft

9) Diagonal = 31.1 yards

10) the ratio between the areas is 4 : 25.

11) the perimeter of the square is 40√2 cm.

12) the length of the diagonal is 17 cm.

13) 2√2 : 2.

14) 4 : 1

15)  100√2 cm

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