Akite has a perimeter of 108 feet. one of the longer sides measures 30 feet. what are the lengths of the other three sides?
a. 24 feet, 24 feet, 30 feet
b. 24 feet, 30 feet, 30 feet
c. 26 feet, 26 feet, 26 feet
d. 30 feet, 48 feet, 48 feet

A. 24 feet, 24 feet, 30 feet

Step-by-step explanation:

Since, a kite having two pair of congruent adjacent sides,

And, its perimeter is,

P = 2(a+b)

Where, a is smaller side,

And, b is the longer side.

Given,

b = 30 ft and P = 108 ft,

⇒ 108 = 2( a + 30)

⇒ 108 = 2a + 60

⇒ 108 - 60 = 2a

⇒ 48 = 2a

⇒ a = 24

Thus, the sides of the given kite are 24, 24, 30, 30.

⇒ Option A is correct.

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