Question

BR
TREC is a rectangle. What is the length of ET?
2x-3

Answer 1

`ET=34\ units`

Explanation:

see the attached figure to better understand the problem

we know that

The diagonals of a rectangle are equal and bisect each other.

so

ET=RC

and

`2x-3=x+7`

Solve for x

`2x-x=7+3`

`x=10`

Find the measure of diagonal RC

`RC=(2x-3)+(x+7)`

`RC=(3x+4)`

substitute the value of x

`RC=3(10)+4`

`RC=34\ units`

Remember that

ET=RC

therefore

`ET=34\ units`