Question

SNACKS The face of the popcorn box can be modeled with an isosceles trapezoid with QR=3x+2.5, RS=9x−4.8 , ST=4x−2 , and QT=6x+1.2.

Answer 1

As it's isosceles trapezoid

• QT=RS
• 9x-4.8=6x+1.2
• 3x=6
• x=2

Now

QR=3(2)+2.5=8.5

RS=9(2)-4.8=13.2

ST=4(2)-2=6

QT=6(2)-1.2=10.8

Answer 2

TQ=SR [since it is isosceles trapezoid]

6x+1.2=9x-48

48+1.2=9x-6x

3x=49.2

x=49.2/3=16.4

now

QR=3×16.4+2.5=51.7

SR=9×16.4-48=99.6

ST=4×16.4-2=63.6

TQ=6×16.4+1.2=99.6