Question

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
la) 56 cm
(b) 60 cm
(c) 70 cm
(d) 80 cm​

Answer 1

Answer:

Given length and breadth of a rectangle are in the ratio 4:3

And diagonal= 25 cm

Let ratio in multiple of x i.e. 4x and 3x

According to the Pythagoras theorem we can write as (4x)2+(3x)2=252

16x2+9x2=625

25x2=625

X2=625/25=25

x=5

Length = 20 cm

Breadth = 15 cm

Perimeter= 2(l +b) = 2(20+15) = 2(35) = 70 cm

Answer 2

Answer:

(c) 70 cm Explanation: Given length and breadth of a rectangle are in the ratio 4:3 And diagonal= 25 cm Let ratio in multiple of x i.e. 4x and 3x According to the Pythagoras theorem we can write as (4x)2+(3x)2=252 16x2+9x2=625 25x2=625 X2=625/25=25 x=5 Length = 20 cm Breadth = 15 cm Perimeter= 2(l +b) = 2(20+15) = 2(35) = 70 cm..com length-breadth-rectangle-ratio-the-diagonal-measures-25cm-then-the-perimeter-rectangle?show=738587738587