Math, asked by maahira17, 1 year ago

"Question 1 The shape of the top surface of a table is a trapezium. Find its area if its parallel sides are 1 m and 1.2 m and perpendicular distance between them is 0.8 m. E

Class 8 Mensuration Page 177"

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Answered by nikitasingh79
36

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 figure is the total length of its boundary.

In case of a triangle or a polygon the perimeter is  the sum of the length of its sides.

Unit of perimeter is a centimetre  (cm), metre(m) kilometre(km) e.t.c


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

 

The area of a triangle are a polygon is the measure of the surface enclosed by its sides.

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:

Perpendicular distance=.8  m


Parallel sides are 1m & 1.2 m


Area of Trapezium= ½  × (Sum of parallel sides) × Perpendicular distance


Area of Trapezium

= (1/2) × (1+1.2) ×.8

= ½× 2.2 × .8

= ½ ×1.76


=.88m²

Hence, the area of the top of the table = 0.88 m²

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Hope this will help you...
Answered by singhvandana1414
10

Step-by-step explanation:

Area of trapezium = (Sum of parallel sides) × (Distances between parallel sides)

[ 1/2 ( 1 + 1.2 ) ( 0.8) ] m square

[ 1/2 ( 2.2 × 0.8 )] m square

1/2 × 1.76 m square

o.88 m square

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