Question

The perimeter of rectangle is 140 cm . If the sides are in the ratio of 3:4, find the length of the four sides and the two diagonals.

Answer 1

Step-by-step explanation:

Let the sides be 3x and 4x

So

2 (3x+4x)=140 cm

2 * 7x = 140cm

14x=140cm

x=10cm

Side 3x = 3*10 = 30 cm

Side 4x = 4*10 =40 cm

Diagonal = sqrt (Length ^ 2 + Breadth ^ 2)

=sqrt (30^2 + 40^2

=sqrt (900+1600)

=sqrt (2500)

=50cm

Diagonal=50cm