Question

JL=2x-6
KM=3/2x+1
find the length of the diagonal of rectangle JKLM

Answer 1

The length of the diagonal is
`22\ units`

Explanation:

we know that

The diagonals of a rectangle are congruent

so

JL=KM

substitute the values and solve for x

`2x-6=(3/2)x+1\\ \\2x-6=1.5x+1\\ \\2x-1.5x=1+6\\ \\0.5x=7\\ \\ x=14\ units`

Find the length of the diagonal

`JL=2x-6=2(14)-6=22\ units`