PRSQ is a trapezium of area 14cm2 in which PQ||RS. If PQ = 4cm and…

PRSQ is a trapezium of area 14cm² in which PQ||RS. If PQ = 4cm and SR = 3cm, Find the area of SQR in cm²

Correct Answer: Option B

Explanation

Area of trapezium = 14cm²
Area of trapezium = (frac{1}{2})(a + b)h
14 = (frac{1}{2})(4 + 3)h
14 = (frac{7}{2})h
h = (frac{14 times 2}{7})
= 4
Area of SQR = (frac{1}{2})(3 x 4)
= (frac{12}{2})
= 6.0