Question

the area of the trapezium is 143 CM square and its height is 11 cm one of the parallel side is 4 cm longer than the other side? find the other side
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Answer 1

Answer:

Area of trapezium = 1/2(h)(b1+b2)

Let the other side be x. Then the parallel side is x+4

h = 11 cm

b1 = x

b2 = x+4

Area = 1/2(11)(x+x+4)

Area = 1/2(11)(2x+4) = 1/2(11) × 2(x+2) = 11(x+2)

Therefore area = 11(x + 2)

But area = 143 cm²

Equating both equations,

143 = 11(x + 2)

143/11 = x + 2

13 = x + 2

x = 13-2 = 11 cm

Therefore length of other side = x = 11 cm.

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Answer 2

Answer:

Area of trapezium = 1/2(h)(b1+b2)

Let the other side be x. Then the parallel side is x+4

h = 11 cm

b1 = x

b2 = x+4

Area = 1/2(11)(x+x+4)

Area = 1/2(11)(2x+4) = 1/2(11) × 2(x+2) = 11(x+2)

Therefore area = 11(x + 2)

But area = 143 cm²

Equating both equations,

143 = 11(x + 2)

143/11 = x + 2

13 = x + 2

x = 13-2 = 11 cm

Therefore length of other side = x = 11 cm.