"Question 1 A square and a rectangular field with measurements as given in the figure have the same perimeter. Which field has a larger area?
Class 8 Mensuration Page 171"

Answers
P=S×4
P=60×4
P=240m
Now the length of one sside of figure b has been given. We know that the opposite sidw is also equal.
We know that:
80×2+2x=240
=>160+2x=240
=>2x=240-160
=>x=80/2
=>x=40m
Now area of square=60×60sq.m
=3600sq.m
Now area of rectangle
=l×b
=80×40
=3200sq.m
So, area of square is bigger
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:
Answer is in the attachment..
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Hope this will help you...
