PROBLEMS INVOLVING DIAGONAL OF A SQUARE WORKSHEET

Problem 1 :

Find the area of a square with a diagonal of 3 cm.

Problem 2:

Find the area of a square whose diagonal is 9 cm.

a) 18 cm²   b) 81/2 cm²     c) 36 cm²    d) 81 cm²

Solution

Problem 3:

The area of a square is 2√2 + 3. What is the length of a side of the square?

a) √2 - 1    b) 2√2 - 1    c) √2 + 1    d) 2√2 + 1

Solution

Problem 4 :

The area of the square ABCD is 9/2 cm². Find the length of BD.

Solution

Problem 5 :

Find the area of a square one of whose diagonal is 3.8 m long.

Solution

Problem 6 :

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

Solution

Problem 7 :

A man walked diagonally across a square lot. Approximately, what was the percent saved by not walking along the edges?

a) 20       b) 24       c) 30       d) 33

Solution

Problem 8 :

A man walking at the speed of 4 kmph crosses square field diagonally in 3 minutes. The area of the field is.

a) 18000 m²    b) 19000 m²  c) 20000 m²   d) 25000 m²

Solution

Problem 9 :

If the length of the diagonal of a square is 20 cm, then its perimeter must be

a) 10√2 cm      b) 40 cm    c) 40√2 cm     d) 200 cm

Solution

Problem 10 :

The area of a square field is 69696 cm². its diagonal will equal to.

a) 313.296 m      b) 353.596 m

c) 373.296 m      d) 393.296 m

Solution

Problem 11 :

The diagonal of a square measures 7√2 , what is its perimeter?

Solution

Problem 12 :

If the diagonal of a squares is made 1.5 times then the ratio of the area of the two squares is :

a) 4 : 3   b)  4 : 5   c)  4  7   d)  4 : 9

Solution

Problem 13 :

A man walking at the speed of 4 kmph crosses the square field diagonally in 3 minutes. The area of the field is 

a) 18000 m²       b) 19000 m²          c)  20000 m²     d) 25000 m²

Solution

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

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 :

Solution

Problem 6 :

Solution

Problem 7:

Solution

Problem 8 :

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) the required ratio is 2√2 : 2.

14) Ratio between area of squares = 4 : 1

15) Perimeter of the square = 100√2 cm

Related Pages

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• Find diagonal of 3D shapes worksheet
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