Question

The diagonal of two square are In ratio 2:5 find rario of their area

Answer 1

Answer:

Let the two squares be ; square1 and square 2.

Now,

Let the diagonal of square1 be D1 and the diagonal of square2 be D2.

Then ,

According to the question,

The diagonals of two squares are in ratio 2:5,

=> D1:D2 = 2:5

=> D1/D2 = 2/5 -----(1)

Also,

We know that,

Area of a square = (1/2)(diagonal)^2

Now,

Let the area of square1 be A1 and the area of square2 be A2.

Then, A1 = (1/2)(D1)^2 ------(2)

and A2 = (1/2)(D2)^2 ------(3)

Now,

Dividing eq-(2) by eq-(3)

We get,

=> (A1/A2) = (D1)^2/(D2)^2

=> A1/A2 = (D1/D2)^2

=> A1/A2 = (2/5)^2. {using eq-(1)}

=> A1/A2 = 4/25

=> A1:A2 = 4:25

Thus, the required ratio of the areas of the two squares is 4:25

Answer 2

Answer:

Step-by-step explanation: