Question

the ratio of length of adjacent sides if a rectangle is 5:2 and its perimeter is 52 cm then find the length of rectangle​

Answer 1

Answer:

Let sides of rectangle be 5X and 12X.

Perimeter of rectangle = 34

2 ( L + B ) = 34

2 ( 12X + 5X) = 34

17X = 17

X = 17/17 = 1 cm

Length of rectangle = 12X = 12 × 1 = 12 cm

And,

Breadth of rectangle = 5X = 5 × 1 = 5 cm

Therefore,

Length of diagonal = ✓(L)²+(B)²

=> ✓(12)² + (5)²

=> ✓144 + 25

=> ✓169

=> 13 cm

Answer 2

Given:  the ratio of the length of adjacent sides if a rectangle is 5:2 and its perimeter is 52 cm.

To find: length of the rectangle​

Solution:

Since the ratio between the sides is 5:2 therefore, the sides will be 5x and 2x.

The perimeter of the rectangle is given as 52cm.

2 ( L + B ) = 52

2 ( 2X + 5X) = 52

7x= 52/2= 26

x = 26/7= 3.7 = 4 cm

length= 2x = 2 into 4= 8 cm

breadt = 5x = 5 × 4 = 20 cm

The length of the rectangle is 20 cm.