Question

Plssssss helpp :'Dd

If JL = 5x + 1 and MK = 8x - 32, find JL and NK.

JL =

NK =

Answer 1

Diagonals of rectangle are equal

`\\ \tt\Rrightarrow 5x+1=8x-32`

`\\ \tt\Rrightarrow 1+32=8x-5x`

`\\ \tt\Rrightarrow 33=3x`

`\\ \tt\Rrightarrow x=11`

• JL=5(11)+1=56
• NK=JL/2=28

Answer 2

• 56 units, 28 units

Explanation:

Rectangle has equal diagonals:

• JL = MK

Substitute and solve for x:

• 5x + 1 = 8x - 32
• 8x - 5x = 1 + 32
• 3x = 33
• x = 11

Find the length of the diagonals:

• JL = MK = 5*11 + 1 = 56 units

Diagonals of the rectangle bisect each other:

• KN = MK / 2 = 56/2 = 28 units