The ratio of the side lengths of a quadrilateral is 3:3:5:8, and the perimeter is 380cm. What is the measure of the longest side?

20 cm
160 cm
100 cm
60 cm

Question

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carlosego carlosego · Answer 1 · 2019-02-21T21:33:20+01:00

Answer: The second option (160 cm)

Step-by-step explanation:

1. You can obtain the perimeter of a quadrilateral by adding the lenghts of the sides.

2. You know that the ratio of the side lengths is 3:3:5:8 and the perimeter is 380 centimeters.

3. Therefore, you can write the following expression, where x is an integer:

[tex]3x+3x+5x+8x=380[/tex]

4. Solve for x:

[tex]3x+3x+5x+8x=380\\19x=380\\x=\frac{380}{19}\\x=20[/tex]

5. Therefore, the longest side is:

[tex]8x=8*20=160[/tex] (160 cm)

SerenaBochenek SerenaBochenek · Answer 2 · 2019-02-21T22:08:46+01:00

Answer:

The length of longest side is 160 cm.

Step-by-step explanation:

Given the ratio of the side lengths of a quadrilateral is 3:3:5:8, and the perimeter is 380 cm. we have to find the measure of the longest side.

Let the sides of quadrilateral are

3x, 3x, 5x and 8x

Given perimeter is 380 cm

∴ 3x+3x+5x+8x=380

⇒ 19x=380 ⇒ x=20

Hence, the length of longest side is 8x=8(20)=160 cm.

Option 2 is correct.