Question

If the diagonals of two squares are in ratio 4:5 then find the ratio of their areas
(a) 4:5
(b) 5:4
(c) 25:16
(d) 16:25
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Answer 1

Answer:

diagonals of square are 4:5

then area will be

area first square =side ×side

4×4 =16

and, second square = 5×5 =25

so ratio of their areas =16:25

the correct answer is( d) option.

Answer 2

Answer:

16:25

Step-by-step explanation:

Explaination:

Let the diagonal of two square be 4x and 5x

Formula

Diagonal of square is "2√side"

Solve

Diagonal = 2√s

4x = 2√s

√s = 2x

s = 4x. [ 1st square ]

2nd square:

5x = 2√s

√s = 2.5x

s = 5x

Let's find area of these square:

• Area of 1st square = 16x2

• Area of 2nd square = 25x2

RATIO:

1st : 2nd

16 : 25

answer = 16 : 25