Question

The ratio of two sides of rectangle is 3:4 .if it's perimeter is 98cm find the length of each diagnol of the rectangle

Answer 1

Answer:

Step-by-step explanation:

let the ratio = 3x : 4x

perimeter = 98 cm

2(3x + 4x) = 98

7x = 47

x = 7 cm

so length = 28cm

breadth = 21cm

the length breadth and diognal form a right angle triangle and satisfy the pythagarous theorum

sq. of diognal = sq. of length + sq. of breadth

diognal sq. = 21 sq. + 28 sq.

diognal sq. = 441 + 784

diognal sq. = 1225

so diognal of rectangle = 35 cm (which is the square root of 1225)