Question

abcd is a rectangle length ab= 3x+2 units , breathe Bc= y-2 , cd= x+10, da= 3y-10, then find the length of the diagonal

Answer 1

heya,

we know,


opposite sides of a rectangle are equal.


for detailed solution refer to given attachment please

Answer 2

As it is a Rectangle,

Length = ab = cd
Breadth = bc = ad
________________

Length,

ab = cd

3x + 2 = x + 10 

3x - x = 10-2 

2x = 8 

x = 8/2 

x = 4 
________

Breadth,

bc = ad

y- 2 = 3y - 10 

-2 + 10 = 3y - y 

8 = 2y

8/2 = y 

4 = y 

______________

Length = 3x + 2  
            = 3(4) + 2 
            = 12 + 2 
            = 14 units 

Breadth = y - 2 
              = 4 - 2 
              = 2 units


______________________



By Pythagoras theorem,

length + breadth = diagonal 

14² + 2² = diagonal²

196 + 4 = diagonal²

200 = diagonal²

√200 = Diagonal

10√2 units = diagonal

_________________

Length of Diagonal = 10√2  units



i hope this will help you


-by ABHAY