Caindoymarie14idn
Answered

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if mwx=(6x)cm,mXY=(5y-4),mYZ=(x+35)cm and mWZ=(y+17)cm,then what is the perimeter of parallelogramWXYZ?
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Sagot :

Yniekim012idn

Answer:

Perimeter = 49/2 or 24 1/2

Step-by-step explanation:

Get the values of x and y first by equating the measure of WX to the measure of YZ, as well as the measure of XY to the measure of WZ. Once we have the values, we can already use them in the formula for the perimeter of a quadrilateral which is P=21+2w.

HakuYukiidn

Answer:

128.5 cm

Explanation:

If m WX = (6x)cm, m XY = (5y - 4)cm, m YZ = (x + 35)cm and m WZ = (y + 17)cm, then, what is the perimeter of parallelogram WXYZ?

First, let's find the value of WX and XY.

[tex]\overline{WX}\cong\overline{YZ}[/tex] and [tex]\overline{XY}\cong\overline{WZ}[/tex]

Finding the value of [tex]\overline{WX}[/tex]:

[tex]6x = x + 35\\[/tex]

[tex]6x - x = 35\\\\[/tex]

[tex]5x = 35\\\\[/tex]

[tex]\frac{5x}{5}=\frac{35}{5} \\\\[/tex]

[tex]x = 7[/tex]

Using substitution for the value of [tex]\overline{WX}[/tex].

6(7) = 42

Next, let's find the value of [tex]\overline{XY}[/tex]:

[tex]5y - 4 = y + 17[/tex]

[tex]5y - y = 4 + 17[/tex]

[tex]4y = 21[/tex]

[tex]\frac{4y}{4} =\frac{21}{4}[/tex]

[tex]y = \frac{21}{4}=5.25[/tex]

Using substitution for the value of [tex]\overline{XY}[/tex].

(5 × 5.25) - 4

26.25 - 4 = 22.25

Then use this formula on finding the perimeter of parallelogram: [tex]P = 2(a+b)[/tex]

Let a be WX and b be XY.

[tex]P = 2(42+22.25)\\P = 2 (64.25)\\P =\bold{ 128.5}[/tex]