FIND THE LENGTH OF THE DIAGONAL OF EACH SQUARE

The Formula the Area of a Square,

Area = s² sq. units

The Formula the Diagonal of a Square,

d = s√2 units

(where s is the side and d is the diagonal of a square)

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

Problem 1 :

Side length = 2 yd

Solution :

Given, side length (s) = 2 yd

Diagonal (d) = s√2

d = 2√2

= 2(1.414)

d = 2 .8 yd

Problem 2 :

Side length = 53 ft

Solution :

Given, side length (s) = 53 ft

Diagonal (d) = s√2

d = 53√2

= 53(1.414)

d = 75 ft

Problem 3 :

Side length = 17.3 in

Solution :

Given, side length (s) = 17.3 in

Diagonal (d) = s√2

d = 17.3√2

= 17.3(1.414)

d = 24 .5 in

Problem 4 :

Side length = 95 yd

Solution :

Given, side length (s) = 95 yd

Diagonal (d) = s√2

d = 95√2

= 95(1.414)

d = 134 .3 yd

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

Problem 5 :

Solution :

By observing the figure,

Side length (s) = 48.7 ft

Diagonal (d) = s√2

d = 48.7√2

= 48.7(1.414)

d = 68 .9 ft

Problem 6 :

Solution :

By observing the figure,

Side length (s) = 32 in

Diagonal (d) = s√2

d = 32√2

= 32(1.414)

d = 45.2 in

Problem 7 :

Solution :

By observing the figure,

Side length (s) = 70 yd

Diagonal (d) = s√2

d = 70√2

= 70(1.414)

d = 98.98 yd

Problem 8 :

Solution :

By observing the figure,

Side length (s) = 88.5 ft

Diagonal (d) = s√2

d = 88.5√2

= 88.5(1.414)

d = 125 .14 ft

Problem 9 :

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

Solution :

Given, side length (s) = 22 yards

Diagonal (d) = s√2

d = 22√2

= 22(1.414)

d = 31.108 yards

So, the length of the diagonal is 31.108 yards.