The Formula the Area of a Square,
Area = s^{2 }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.
May 21, 24 08:51 PM
May 21, 24 08:51 AM
May 20, 24 10:45 PM