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Sagot :
Answer:
16 Units.
Step-by-step explanation:
Given:
- AC = 2 (x-3)
- BD = x + 5
THIS CASE ⇒ AC = BD
⇒ Substitute the values
2 (x - 3) = x + 5
⇒ Clear the value of x
2x - 6 = x + 5
2x - x = 5 + 6
x = 11
⇒ Substitute the value of x in any of the equations
11 + 5 = 16
⇒ Length of each diagonal is 16 units.
Answer:
AC = 22
BD = 22
Step-by-step explanation:
The diagonals of a rectangle are equal in length.
⇒ AC = BD
⇒ 2(x - 4) = x + 7
⇒ 2x - 8 = x + 7
⇒ 2x - x = 7 + 8
⇒ x = 15
Substitute found value of x into the expressions for AC and BD:
AC = 2(x - 4)
= 2(15 - 4)
= 2(11)
= 22
BD = x + 7
= 15 + 7
= 22
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