a kite has a perimeter of 70 centimeters. one of the shorter sides measures 16 centimeters. what are the…

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?\n16 centimeters, 16 centimeters, and 19 centimeters\n16 centimeters, 19 centimeters, and 19 centimeters\n16 centimeters, 38 centimeters, and 38 centimeters\n18 centimeters, 18 centimeters, and 18 centimeters

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?\n16 centimeters, 16 centimeters, and 19 centimeters\n16 centimeters, 19 centimeters, and 19 centimeters\n16 centimeters, 38 centimeters, and 38 centimeters\n18 centimeters, 18 centimeters, and 18 centimeters

Answer

Explanation:

Step1: Recall kite - side property

A kite has two pairs of adjacent sides that are equal. Let the length of the shorter side be $a = 16$ cm. Let the length of the longer side be $b$.

Step2: Use perimeter formula

The perimeter $P$ of a kite is $P=2a + 2b$. Given $P = 70$ cm and $a = 16$ cm. Substitute into the formula: $70=2\times16+2b$.

Step3: Simplify the equation

First, calculate $2\times16 = 32$. The equation becomes $70=32 + 2b$.

Step4: Solve for $b$

Subtract 32 from both sides: $70−32=2b$, so $38 = 2b$. Then divide both sides by 2: $b=\frac{38}{2}=19$ cm.

Answer:

B. 16 centimeters, 19 centimeters, and 19 centimeters