Question

The area of a trapezium is 84 sq. m and the distance between its parallel sides is 6 m. If the length of one of the parallel sides is 5 m, then the length of the other is:
3 points
a. 30 cm
b. 30 m
c. 28 m
d. 23 m

Answer 1

➤ Answer

• The second parallel side = 23 m ( option d )

➤ Given

• The area of a trapezium is 84 m² and the distance between it's parallel sides is 6m. Length of one of the parallel side is 5m.

➤ To Find

• The length of second parallel side.

➤ Step By Step Explanation

Given that the area of a trapezium is 84 m² and the distance between it's parallel sides is 6m. Length of one of the parallel side is 5m. We need to find the second parallel side. So let's do it !!

➠ Assumption

Let the second parallel side be x.

➠ Formula Used :

$\underline{\boxed{\tt{\red{Area_{(Trapezium)} = \cfrac{1}{2} \times S \times D}}}}$

Where S denotes sum of parallel sides and D denotes the distance between the parallel sides.

➠ By substituting the values

$\longmapsto\tt \cfrac{1}{2} \times 6 \times (5 + x) = 84\\ \\ \longmapsto\tt \frac{1}{ \not2} \times \not6 \times (5 + x) = 84\\ \\ \longmapsto\tt 3(5 + x) = 84 \\ \\ \longmapsto\tt 15 + 3x = 84 \\ \\\ \longmapsto\tt 3x = 84 - 15 \\ \\ \longmapsto\tt 3x = 69 \\ \\\longmapsto\tt x = \cancel\cfrac{69}{3} \\ \\\longmapsto\tt{\green{x = 23\:m}}$

➵ Hence, the length of second parallel side = 23 m. ( option d )

_____________________

Answer 2

Answer:

GIVEN :-

Area of the trapezium = 84 m^2.

Altitude = 6 m

one parallel side = 5 m.

so , let the other parallel side be x.

area of trapezium = 1/2 × sum of it's parallel side × altitude.

Area = 1/2 × (x+5) ×6

84 = 1/2×(x+5)×6

84 = 3(x+5)

84 = 3x+15

3x = 84-15

3x = 69

x = 69/3

x = 23

so the other side of the trapezium is 23 m.

Step-by-step explanation:

i hope this answer help you.