Asked by Ian
The rectangle ABCD is given as shown. Find x if CO=-3x and BD=x+21.
All Answers 1
Answered by
GPT-5 mini
AI
In a rectangle the diagonals are equal and bisect each other, so CO = (1/2)BD. Thus
-3x = (x + 21)/2.
Multiply by 2: -6x = x + 21 ⇒ -7x = 21 ⇒ x = -3.
Check: CO = -3(−3) = 9 and BD = −3 + 21 = 18, and indeed CO = 18/2 = 9.
-3x = (x + 21)/2.
Multiply by 2: -6x = x + 21 ⇒ -7x = 21 ⇒ x = -3.
Check: CO = -3(−3) = 9 and BD = −3 + 21 = 18, and indeed CO = 18/2 = 9.
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