The area of a trapezium is 91 cm2 and its height is 7 cm. If one of t

1.	The area of a trapezium is 91 cm2 and its height is 7 cm. If one of the parallel sides is longer than the other by 8 cm, find the two parallel sides.
Answer» Given that, Let the length of one parallel side of trapezium = x meter Length of other parallel side of trapezium = (x+8) meter Area of trapezium = 91 cm² Height = 7 cm We know that, Area of trapezium = 1/2 (Sum of lengths of parallel sides) × altitude 91 = 1/2 (x+x+8) × 7 91 = 1/2(2x+8) × 7 91 = (x+4) × 7 (x+4) = 91/7 x+4 = 13 x = 13 – 4 x = 9 ∴ Length of one parallel side of trapezium = 9 cm And, Length of other parallel side of trapezium = x+8 = 9+8 = 17 cm

The area of a trapezium is 91 cm2 and its height is 7 cm. If one of the parallel sides is longer than the other by 8 cm, find the two parallel sides.

Answer»

Given that,

Let the length of one parallel side of trapezium = x meter

Length of other parallel side of trapezium = (x+8) meter

Area of trapezium = 91 cm²

Height = 7 cm

We know that,

Area of trapezium = 1/2 (Sum of lengths of parallel sides) × altitude

91 = 1/2 (x+x+8) × 7

91 = 1/2(2x+8) × 7

91 = (x+4) × 7

(x+4) = 91/7

x+4 = 13

x = 13 – 4

x = 9

∴ Length of one parallel side of trapezium = 9 cm

And, Length of other parallel side of trapezium = x+8 = 9+8 = 17 cm