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

The length of the longest side is 13mm

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