Question

The perimeter of a kite is 50 mm. The length of one of its sides is 1 mm more than twice the length of another. Find the length of the LONGEST side of the kite. Only write the value of the longest side.

Answer 1

Answer:

The length of the longest side is 13mm

Step-by-step explanation:

Represent the two sides with a and b, where a is the longest

$Perimeter = 50$

$a=b + 1$

Required

Determine the length of the longest side

Perimeter of a kite is calculated as thus:

$Perimeter = 2(a + b)$

Make b the subject in $a=b + 1$

$b = a -1$

Substitute a - 1 for b and 50 for Perimeter in $Perimeter = 2(a + b)$

$50 = 2(a + a - 1)$

Divide through by 2

$25 = a + a - 1$

$25 = 2a- 1$

Add 1 to both sides

$25 + 1 = 2a - 1 +1$

$25 + 1 = 2a$

$26 = 2a$

Solve for a

$a = 26/2$

$a = 13$

Hence, the length of the longest side is 13mm