"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"
Answers
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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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