The side length of a square abcd is 18 inches. what is the side length of the square formed by joining the midpoints of the sides of abcd?

The side length of a square ABCD is 18 inches

Each side of square ABCD is 18 inches

The midpoints of ABCD are joined to form a square MNOP

The figure is attached below

We need to find the side length of square MNOP

AMN form a Right angle triangle

We know AM =9  and AN= 9

To find MN , use Pythoagorean theorem

Take square root on both sides

so the side of the square MNOP is  

x/7.50 = 15

x= 7.50 / 15 divide

step-by-step explanation:

let's solve your equation step-by-step.

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

2x

2

=

10

2

x=5

step-by-step explanation: