Question

In the figure given below, S, T and U are the mid-points of the sides PR, QR and PQ,
respectively of PQR.If PQ = 12.4 cm, QR = 11.2 cm and PR = 9.2 cm, then find the perimeter of trapezium
PQTS.

Answer 1

Answer:

the answer is 32.8 parameters

Answer 2

Solution :-

given that, S, T and U are the mid-points of the sides PR, QR and PQ . PQ = 12.4 cm, QR = 11.2 cm and PR = 9.2 cm .

So,

→ PQ = 12.4 cm ------- Eqn.(1)

now,

→ SP = (1/2)PR { since S is mid point of PR }

→ SP = (1/2) * 9.2 = 4.6 cm -------- Eqn.(2)

and,

→ QT = (1/2)QR { since T is mid point of QR }

→ QT = (1/2) * 11.2 = 5.6 cm -------- Eqn.(3)

also,

→ TS = (1/2)PQ { By mid point theorem }

→ TS = (1/2) * 12.4 = 6.2 cm ----------- Eqn.(4)

therefore,

→ Perimeter of Trapezium (PQTS) = PQ + QT + TS + SP

putting values of all four Equations we get,

→ Perimeter of Trapezium (PQTS) = 12.4 + 5.6 + 6.2 + 4.6

→ Perimeter of Trapezium (PQTS) = 28.8 cm (Ans.)

Hence, the perimeter of trapezium PQTS is equal to 28.8 cm .

Learn more :-

In the figure along side, BP and CP are the angular bisectors of the exterior angles BCD and CBE of triangle ABC. Prove ∠BOC = 90° - (1/2)∠A .

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