Question

Can someone help me with this problem please

Answer 1

Option C that is
`x=4,DF=EG=15` the right choice.

Explanation:

Given,

A rectangle with the measures of its diagonal DF and EG.

Measure of diagonal DF =
`5x-5`

Measure of diagonal EG =
`x+11`

Note:Diagonal length of the rectangle are same.

So DF = EG

`5x-5=x-11`

Subtracting
`x` and adding
`5` on both sides.

We have,

`5x-x=11+5`

`4x=16`

Dividing 4 both sides.

`x=(16)/(4)=4`

So the value of
`x` is
`4`.

Now plugging the value of
`x=4`,we will find the numeric value of DF and EG.

DF =
`5x-5 =5(4)-5=15`

EG=
`x+11=4+11=15`

Both are equal DF = EG.

So x=
`4` and the length of diagonals are equal, DF = EG =
`15` unit.