the ratio of digonal of a square are 5cm and 3.5 cm . find the ratio of its perimeter. 9th std question. pls solve this fast
Answers
Answer:
Step-by-step explanation:
Length =5cm
Breadth=3.5cm
Perimeter =2 (l+b)
=2 (5+3.5)
=17cm
Area=length ×breadth
=5×3.5
=17.5
Required ratio=17:17.5
Are u satisfied ☺
Answer: 10 : 7
Step-by-step explanation: The diagonal of square is 5cm and 3.5 cm
The diagonal of square = s √2
s = side of square
diagonal of square of 1 square = 5 cm
5 = s √2
s = 5/ √2
Now change into simplest form by rationalisation
s = 5 / √2 × √2 /√2
s = 5√2 / 2
Now the perimeter of 1 square = 4 × side
= 4 × 5 √2/2
= 10 √2
Now we have to find side of 2 square =
s√2 = 3.5
s = 3.5/ √2
Rationalise the denominator
= 3.5 / √2 × √2 / √2
= 3.5 √2 / 2
So, the perimeter of 2 square = 4× side
= 4 × 3.5 √2/2
= 7 √2
The ratio in perimeter = 10 √2 /7√2
= 10 : 7