Question

area of the quadrilateral lMNO given that LN= 42cm OP perpendicular LN,MQ perpendicular LN,MQ=15cm and OP= 21
cm​

Answer 1

Answer:

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756cm²

Step-by-step explanation:

Area of ∆ONL=1/2 × base × height

→1/2×OP×LN

→1/2×21×42 -----→(1)

Area of ∆MLN=1/2×base×height

→1/2×OM×LN

→1/2×15×42 -----→(2)

Total area of quadrilateral LMNO=Area of ∆ONL + Area of ∆MLN

→(1/2×21×42)+(1/2×15×42)

→(1/2×42)(21+15)

→(21)(36)

→756

Thus, area of quadrilateral LMNO is 756cm²