1.

Riya wants to buy plot in the shape of trapezium which have one side parallel to highway which is 4 cm longer than side parallel to bridge. The height and the area of the trapezium are 25 cm and 475 cm2 respectively. The value of the side parallel to bridge is1). 13 cm2). 15 cm3). 17 cm4). 19 cm

Answer»

⇒ Height of the Trapezium (h) = 25 CM

⇒ Area of the Trapezium (A) = 475 cm2

⇒ Let assume, line PARALLEL to the highway = X cm,

Line parallel to bridge = y cm

⇒ From given CONDITION, x = y + 4 (I)

⇒ Area of the trapezium = 1/2 (x + y) × h

⇒ 475 = 1/2(x + y) × 25

⇒ 475 × 2 = (x + y) × 25

⇒ 950/25 = (x + y)

⇒ (x + y) = 38

From the (I),

⇒ y + 4 + y = 38

2Y + 4 = 38

⇒ 2y = 34

∴ y = 17 cm


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