Question

Given SALE, solve for x.

Answer 1

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 2

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

⇒$SA = LE = 3$ units

By properties of Rectangle in SALE:

AL = ES

⇒$5x-6 = 3x+4$

Add 6 to both sides we have;

$5x= 3x+10$

Subtract 3x from both sides we have;

$2x=10$

Divide both sides by 2 we have;

x = 5

Therefore, the value of x is, 5.