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

Answer Key

1)  4.5 cm²

2)  81/2 cm²

3)  √2 + 1

4)  a = 2.12 cm

5)  7.22 m²

6)  4 : 25.

7)  29.5%

8)  20000 square meter

9)  40√2 cm

10)  373.296 m

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