Question

abcd is a square. what is the length of line segment dc? 5 units 7 units 11 units 13 units

Explanation:

Step1: Use property of square

In a square, all sides are equal. So $AB = BC$. We set up the equation $x + 6=2x - 1$.

Step2: Solve for x

Subtract $x$ from both sides: $6=x - 1$. Then add 1 to both sides, we get $x=7$.

Step3: Find length of DC

Since $DC = BC$ and $BC=2x - 1$, substitute $x = 7$ into $2x - 1$. So $DC=2\times7 - 1=14 - 1 = 13$.

Answer:

13 units