Question

QUADRILATERAL QUAD IS A RECTANGLE FIND THE VALUE OF X AND Y DU= 26, QP= 2X +7

Answer 1

Answer:

The value of x is 3.

Step-by-step explanation:

Consider the below figure attached with this question.

Given: Quadrilateral QUAD is a rectangle, DU=26 and QP=2x+7.

We need to find the value of x.

Diagonals of a rectangle are equal.

$QA=DU=26$             .... (1)

Diagonals bisect each other.

$QP=UP=AP=DP=2x+7$      .... (2)

Using (1) and (2) we get

$DU=QP+AP$

$DU=QP+QP$

$DU=2QP$

Substitute given values.

$26=2(2x+7)$

$26=4x+14$

$26-14=4x$

$12=4x$

Divide both sides by 3.

$3=x$

Hence, the value of x is 3.