Question

5. The length and breadth of a rectangle are in the ratio 4:3. If the diagonal measures 25 cm then the perimeter of the rectangle is (a) 56 cm (b) 60 cm (c) 70 cm (d) 80 cm The histors of any two adiacent angles of a parallelogram interdentat A​

Answer 1

Answer:

c) 70

Step-by-step explanation:

$(hypotenuse)^{2} = (base)^{2} + {(height)}^{2}$

25^2 = (3x)^2 + (4x)^2

625 = 9x^2 + 16x^2

625 = 25x^2

x = 5

sides are = 15,20 cm

perimeter = 2(l+b)

2(35)

70

Correct option : c)

Answer 2

Step-by-step explanation:

since the each sides of rectangle are 90° .

then diagonal can be denoted as hypotenese .

h = / b² + p²

25 = /b² + p²

let x be the ratios

25 = / (4x)² + (3x)²

25 = / 16x + 9x

25 = /25x

25 = 5x

x = 25/5 = 5

now ratios are ,

4 × 5 = 20

3 × 5 = 15

:. length = 20cm and breadth = 15cm