The smaller square in the figure below has a perimeter of 4 cm, and the larger square has an area of 16 cm^2. What is the distance from point A to point B? Express your answer as a decimal to the nearest tenth.

Guest Nov 12, 2018

#1**+1 **

The side of the smaller square is 1 cm

The side of the larger square is 4 cm

Draw segment BC parallel to the bottom side of the figure

So....the distance from B to C = 1 + 4 = 5

And the distance from C to A = 4 - 1 = 3

So....using the Pythagorean Theorem, we have

AB = sqrt ( BC^2 + AC^2 ] = sqrt [ 5^2 + 3^2 ] = sqrt [ 34 ] =

5.8 units

CPhill Nov 12, 2018