Question

"Question 2 The area of a trapezium is 34 cm^2 and the length of one of the parallel sides is 10 cm and its height is 4 cm. Find the length of the other parallel side.

Class 8 Mensuration Page 178"

Answer 1

Given: area of a trapezium= 34 cm2(cm square)
the length of one// side= 10cm
height= 4cm
Let other // side be x
we know,
area = 1/2 * sum of // sides * height
34= 1/2 * (x+10) * 4
x+10= 17
x= 7
thus, the length of other // side is 7cm.

Answer 2

Mensuration:

Mensuration is the branch of mathematics which concerns itself with the measurement of Lengths, areas & volume of different geometrical shapes or figures.

Plane Figure: A figure which lies in a plane is called a plane figure.

For e.g:  a rectangle, square, a rhombus, a parallelogram, a trapezium.

 

Perimeter:

The perimeter of a closed plane curve is the total length of the curve.

Unit of perimeter is a unit of length.

Area: the area of the plane figure is the surface enclose by its boundary.

A square centimetre (cm²) is generally taken at the standard unit of an area. We use square metre (m²) also for the units of area.

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Solution:

Given:
Area of a trapezium = 34 cm²
Length of one parallel side =10cm
Height=4 cm

Let x be the other parallel side,

Area of Trapezium
= 1/2 x (sum of parallel sides )x perpendicular distance

34= (1/2) x(10+x) /4

34=2(10+x)

34/2= 10+x

17= 10+x

10+x=17

x=17-10

x=7 cm

The length of the other parallel side= 7cm

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Hope this will help you...