Question

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Answer 1

B. 10

EXPLANATION

We need to find the value of x first.

It was given that the perimeter of triangle XYZ is 24.

This means that:

XY+YZ+XZ=24

we substitute the expression in terms of x to get;

`(5x - 1) + (13 - x) = 24`

This implies that

`5x - x = 24 - 13 + 1`

`4x = 12`

Divide both sides by 4 to get;

`x = 3`

|WY|=|ZX|=13-3=10

Answer 2

WY = 10 units

Explanation:

From the figure we can see a rectangle WXYZ.

Diagonals of rectangle are equal.

It is given that, Perimeter of triangle XYZ = 24

XY + YZ = 5x - 1 and XZ = 13 - x

To find the value of x

Perimeter of ΔXYZ = XY + YZ + XZ

24 = 5x - 1 + 13 - x

4x + 12 = 24

4x = 12

x = 12/4 = 3

x = 3

To find the value of WY

We have WY = XZ

XZ = 13 - x

= 13 - 3 = 10

Therefore WY = XZ = 10 units