In a pair of triangles, if two pairs of corresponding sides are proportional, and the angles in between the two pairs of corresponding sides are congruent, then the triangles are similar. triangle abc is similar to triangle mno. solve for the value of the missing side

the furthest the dog can be is 508 meters away from the house, and the closest he can be is 492 meters away from the house.

area of rectangle a is 2 times that of rectangle b that means 2x+x =   36cm^2

3x = 36cm ^2

x = 36/3

x= 12cm^2

and 2x = 24cm^2

now side of square = are divided by sides = 36/4 = 6cm

that means length of rectangle a and b is 6cm too

now for rectangle a,

l*b = area

= 6*y=24

y=24/6 = 4

therefore dimensions of rectangle a are- length = 6cm, breadth = 4cm

and for rectangle b, length = 6cm and breadth = 6-4 = 2cm.

hope this .