Question

Given SALE, solve for x.

Answer 1

Option D is correct

Value of x is, 5

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.

Answer 2

Option (d) is correct.

x = 5

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.