Answer:
Option (d) is correct.
x = 5
Step-by-step explanation:
Given : A rectangle SALE, with LE = 3 = SA
and SE = 3x + 4 and AL = 5x -6
We have to solve for x,
Since, opposite sides of a rectangle are equal.
So , SE = AL
3x + 4 = 5x - 6
Adding 6 both side, we have,
3x + 10 = 5x
Now subtract 3x both side, we have,
10 = 5x - 3x
Simplify, we have,
10 = 2x
Divide both side by 2, we have,
x = 5
Thus, x = 5
Option (d) is correct.
Answer:
Option D is correct
Value of x is, 5
Step-by-step explanation:
Properties of rectangle:
1. A rectangle is a 4-sided polygon.
2. It has two pairs of equal sides that are opposite to each other.
As per the statement:
Given the diagram SALE.
Here, SA = 3 units , LE = 3 units , AL = 5x-6 units and ES = 3x+4 units
⇒[tex]SA = LE = 3[/tex] units
By properties of Rectangle in SALE:
AL = ES
⇒[tex]5x-6 = 3x+4[/tex]
Add 6 to both sides we have;
[tex]5x= 3x+10[/tex]
Subtract 3x from both sides we have;
[tex]2x=10[/tex]
Divide both sides by 2 we have;
x = 5
Therefore, the value of x is, 5.
