A kite has a perimeter of 70 centimeters. One of the shorter sides measures 16 centimeters. What are the lengths of the other three sides?

16 centimeters, 16 centimeters, and 19 centimeters
16 centimeters, 19 centimeters, and 19 centimeters
16 centimeters, 38 centimeters, and 38 centimeters
18 centimeters, 18 centimeters, and 18 centimeters

Respuesta :

Answer:

a kite has 2 short sides and 2 long sides. The 2 short sides are equal. The 2 long sides are also equal. This means that the other short side is 16cm. And the remaining longer sides can be found like this:

let's pretend *y* is the long side

2*y = 70 - 16 - 16. (two of the long sides = 70 - short side - another short side)

so use algebra to find y.

2*y = 38

y = 19 so the long sides are both 19cm each

Your final answer: 16cm, 19cm, 19cm

The given perimeter of 70 cm, and length of a side of the kite of 16 cm.,

the length of the other three sides are;

  • 16 centimeters, 19 centimeter, and 19 centimeters

How can the length of the sides of a kite be found?

Given;

Perimeter of the kite = 70 cm

Length of one of the shorter side = 16 cm

Let x represent the length of one of the longer sides,

A kite has 2 short sides of equal length and 2 long sides of equal

length, which gives;

Perimeter of the kite = 2·x + 2 × 16 = 70

Which gives;

2·x = 70 - 2 × 16

x = (70 - 2 × 16) ÷ 2 = 19

The length of one of the longer sides, x = 19 cm

The lengths of the sides of the kite are therefore;

  • 16 cm, 16 cm, 19 cm, and 19 cm

The lengths of the other three sides are therefore;

16 centimeters, 19 centimeter, and 19 centimeters

Learn more about kites here:

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