Perimeter and Area
Perimeter and Area: Overview
This topic covers concepts, such as, Geometrical Shapes, Plane Figures, Perimeter of a Plane Figure, Area of a Plane Figure, Area of Square, Area of Rectangle, Area of Circle, Area of Triangle & Area of Parallelogram etc.
Important Questions on Perimeter and Area
What is a Two-dimensional shape? List some real-life examples of squares.

Draw the copy of a line segment shown.

Construct a circle of radius . using ruler and compass.

Identify the geometric shape in the given diagram. How many rectangles are there in the given figure?

What are the types of geometric shapes?

In figure, and are semicircles, and . The perimeter of the figure is . If the area of the following region is , then find the value of considering .( write the answer in decimals)

The diagonals of a rhombus are and . Find its area .


A rhombus shaped sheet of perimeter cm and one diagonal cm, is painted on both sides at the rate of Rs. per m2. Find the cost of painting.

is a rhombus, if it is given that , calculate the perimeter of in centimetres.

The length and width of a rectangle are and . Find its area in square centimeters. How much is it in square metres?

If the length of a rectangle is and the width is then what is its area? Without changing its width, if the length is increased to , what would be the relation between the area of the new rectangle and the area of the original rectangle?

The base of a right-angled triangle is and its hypotenuse is . If its area is , then find the value of .

Find the area of a field(excluding units) which is in the form of a quadrilateral with one diagonal of length and lengths of perpendiculars drawn from the opposite vertices on this diagonal being and respectively.

A diagonal of a quadrilateral is long. The perpendicular distances of the diagonal from the opposite vertices are of length and . Find the area of the quadrilateral (excluding units).

A diagonal of a quadrilateral shaped field is and the perpendiculars drawn on it from the remaining opposite vertices are and . Find the area of the field.(excluding units)

The length of the diagonal of a quadrilateral is and the perpendicular drawn to it from the opposite vertices are and . Find the area of the quadrilateral (excluding units)

Find the area of parallelogram in whose base is and the corresponding altitude is .
Write the answer excluding units.

Find the altitude of a parallelogram whose one side is and area being

Find the area, in square metres, of the parallelogram whose base and altitude are as under :
base , altitude
Write the answer excluding units.
