Question

Can someone help me with this problem please

Answer 1

Answer:

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

Step-by-step 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.

$x=\frac{16}{4}=4$

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.