ABCD is rectangle. BC = 45. Two circles are drawn inside ABCD such that the circles are

tangent to each other. The circle with radius 10 is tangent to AB¯

and BC¯

, and the circle with

radius 15 is tangent to AD¯

and CD¯

. Find AB.

ABCD is a rectangle. Two circles are drawn inside ABCD such that the circles are tangent at point G. E is the tangent point of the first circle and AB, and F is the tangent point of the second circle and BC, as shown. From center B a tangent is drawn to circle A intersecting the circle at C.

to find the perimeter of the rectangle this is the expression:

x-9+x-9+3x-4+3x-4=138

if we simplify it:

8x-26=138

remember, 138 is what it all adds up to

the length is 11.5cm

the width is 57.5cm

the area is 661.25cm^2

the answers might not be correct use at own risk