A kite has a perimeter of 108 feet. One of the longer sides measures 30 feet. What are the lengths of the other three sides?

24 feet, 24 feet, 30 feet
24 feet, 30 feet, 30 feet
26 feet, 26 feet, 26 feet
30 feet, 48 feet, 48 feet

Respuesta :

Answer:

24 feet, 24 feet, 30 feet

Step-by-step explanation:

edge 2020

The given perimeter of 108 feet, and length of the longer side of 30 feet,

gives the following length of the other sides;

  • 24 feet, 24 feet, 30 feet

Which method can be used to find the lengths of the sides?

A kite has two pairs of adjacent sides having equal length

Let x represent the length of one of the shorter sides, we have;

  • The perimeter of the kite = 2 × x + 2 × 30 = 108

Which gives;

x = (108 - 2 × 30) ÷ 2 = 24

The length of one of the short side, x = 24 feet

The kite has 2 sides of length 24 feet and 2 sides of length 30 feet

The lengths of the other sides are therefore;

  • 24 feet, 24 feet, 30 feet

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