SAT Math Practice Question #27350 - SATify | SATify
#27350
geometry
similarity
area
hard
150 sec
Let △PQR be an equilateral triangle. Extend side PQ beyond Q to a point Q′ so that QQ′=4⋅PQ. Similarly extend side QR beyond R to a point R′ so that RR′=4⋅QR and extend side RP beyond P to a point P′ so that PP′=4⋅RP. What is the ratio of the area of △P′Q′R′ to the area of △PQR?