What is the justification of statement 5?

Option D. Side Angle Side Postulate

Step-by-step explanation:

we know that

The Side Angle Side postulate (SAS) states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent

In this problem we have that

MP≅NP

m∠MPQ≅m∠NPQ=90°

QP≅QP

That means

two sides and the included angle of triangle MPQ are congruent to two sides and the included angle of triangle NPQ

therefore

Triangle MPQ≅ Triangle NPQ > by SAS postulate

to find the perimeter of the rectangle this is the expression:

x-9+x-9+3x-4+3x-4=138

if we simplify it:

8x-26=138

remember, 138 is what it all adds up to

the length is 11.5cm

the width is 57.5cm

the area is 661.25cm^2

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