How do you find the perimeter of a rectangle, in simplest radical form, in which the base is #sqrt98# and the height is #5sqrt2#?

2 Answers
Oct 29, 2016

Answer:

34

Explanation:

#sqrt98 = 9.9#
#5*sqrt2 = 7.1#
Since two sides of the rectangle are 9.9 in length,
#2*9.9 = 19.8#
Since the other two sides of the rectangle are 7.1 in length,
#2*7.1 = 14.2#
Therefore, the total length of the perimeter of the rectangle is,
#19.8 + 14.2 = 34.0#

Oct 29, 2016

The given rectangle has

#base=sqrt98=sqrt(7^2*2)=7sqrt2#

and

#height=5sqrt2#

So

#Perimeter=2(base +height)=2(7sqrt2 +5sqrt2)=2*12sqrt2=24sqrt2#