3. Find the values of the variables and the lengths of the sides of this kite.
1 answer:
Answer:
So, the correct option is A. x = 9, y = 14 , Sides are 11 and 20
Step-by-step explanation:
P.S - the exact question is -
As given in the question ,
Side AB = Side AD
⇒y - 3 = x + 2
⇒y - x = 2 + 3 = 5
⇒y - x = 5 .........(1)
Also, given
Side BC = Side CD
⇒2x + 2 = x + 11
⇒2x - x = 11 - 2
⇒x = 9
∴ equation (1) becomes
y - 9 = 5
⇒y = 5 + 9 = 14
⇒y = 14
∴ we get
x = 9, y = 14
Now,
as given ,
Side AB = y - 3
⇒ AB = 14 - 3 = 11
Side BC = 2x + 2
⇒ BC = 2(9) + 2 = 18 + 2 = 20
Side CD = x + 11
⇒ CD = 9 + 11 = 20
Side DA = x + 2
⇒DA = 9 + 2 = 11
∴ we get
The sides are 11 and 20
So,
The correct option is A. x = 9, y = 14 , Sides are 11 and 20
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Answer:
The area of a rectangle is 42 units ².
Step-by-step explanation:
As the diagram is given below.
Distance Formula
As the rectangle with vertices at A (4, 3), B(11, 3),C (11, 9), and D (4, 9).
Take A (4, 3) to B(11, 3)
AB = 7 units
As take B(11, 3) to C (11, 9).
BC = 6 units
As take C (11, 9) toD (4, 9).
CD = 7 units
As take D (4, 9) to A (4, 3)
DA = 6 units
Thus
AB = DC= 7 units
AD = BC = 6 units
Formula
Area of rectangle = Length × Breadth
Length = 7 units
Breadth = 6 units
Put value in the above
Area of rectangle = 7 × 6
= 42 units ²
Therefore the area of a rectangle is 42 units ².