Question

The area of trapizium is 34 cm² and the length of one parallel side is 10 cm and it's hight is 4 cm .Find the length of the other parallel side.
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Answer 1

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