The length and breadth of a rectangle are in the ratio 4:3. If the dia

1.	The length and breadth of a rectangle are in the ratio 4:3. If the diagonal measures 25cm then the perimeter of the rectangle is(a) 56 cm (b) 60 cm (c) 70 cm (d) 80 cm
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

The length and breadth of a rectangle are in the ratio 4:3. If the diagonal measures 25cm then the perimeter of the rectangle is(a) 56 cm (b) 60 cm (c) 70 cm (d) 80 cm

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