Question

In square PQRS : (i) if PQ = 3x – 7 and QR = x + 3 ; find PS

Answer 1

PQ=QR (as sides are equal)
therefore

3x-7=x+3
3x-x=3+7
2x=10
x=10/2
x=5


PQ=3x-7
3×5-7
15-7
8=PQ
PQ=PS (as side are equal)
PS=8cm