Question

Adjacent sides of a rectangle are in the ratio 5:12 if the perimeter of the rectangle is 34 cm find the length of the diagonal

Answer 1

ratio =5:12=5:12
∴∴ let the sides be 5x5x and 12x12x
Then 5x+12x+5x+12x=345x+12x+5x+12x=34
34x=3434x=34
x=1x=1
Hence the sides are 12cm12cm and 5cm5cm
The length of the diagonals =52+122−−−−−−−√=52+122
=25+144−−−−−−−√=25+144
=169−−−√=169
=13=13
∴∴ length of the diagonal is 13cm13cm
Answer : 13cm

Answer 2

Here is your solution

Given :-
ratio 5:12
perimeter is 34cm

Let,
the sides be 5x and 12x.

perimeter of rectangle =2 (l+b)

=>34=2(5x+12x)
=>34=34x
=>x=1

breadth =5x=5×1=5cm
length =12x=12×1=12cm

length of diagonals =5^2+12^2=13cm

hope it helps you