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Q4. The area of a trapezium is 45 cm2

and the perpendicular distance
between its parallel sides is 5 cm. If the length of one of its parallel sides is
6cm, find the length of the other parallel side.

12 cm

Step-by-step explanation:

The area (A) of a trapezium is calculated as

A = h (a + b)

where h is the perpendicular height and a, b the parallel bases.

Here A = 45, h = 5, a = 6 and b = ?, thus

45 = × 5 × (6 + b) = 2.5(6 + b) = 15 + 2.5b ( subtract 15 from both sides )

30 = 2.5b ( divide both sides by 2.5 )

b = 12

The measure of the other parallel side is 12 cm

12 cm

Step-by-step explanation:

45 = ½ (6 + x) × 5

18 = 6 + x

x = 12

the answer to the question is a

step-by-step explanation:

it has the same slope and the same y-intercept.

y + 11 = -7/9(x - 18)

y + 11 =-7/9x + 14

b

y = -7/9x + 3

y-intercept (0, 3)