Abhijit Guha Solutions for Chapter: Area of Plane Figures, Exercise 3: Exam Problems

If the area of a triangle with base $12 \mathrm{cm}$ is equal to the area of a square with side $12 \mathrm{cm}$, then the altitude of triangle is:

What is the area of a triangle having perimeter $32 \mathrm{cm}$, one side $11 \mathrm{cm}$ and difference of other two sides $5 \mathrm{cm}$?

The perimeter of a right angled triangle is $56 \mathrm{cm}$ and area of the triangle is $84 {\mathrm{cm}}^2$, then the length of the hypotenuse (in cm) is:

A horse is tied to a post by a rope. If the horse moves along a circular path always keeping the rope stretched and describes $88$ metres when it has traced out $72°$ at the centre, the length of the rope is:

The perimeter of two squares are $40 \mathrm{cm}$ and $32 \mathrm{cm}$. The perimeter of a third square where area is the sum of the area of the two squares is:

A parallelogram has sides $60 \mathrm{m}$ and $40 \mathrm{m}$ and one of its diagonals is $80 \mathrm{m}$ long. Its area (in ${\mathrm{m}}^2$) is:

ABCD is a trapezium with AD and BC parallel sides. E is a point on BC. The ratio of the area of ABCD to that of  AED is:

Two equal maximum sized circular plates are cut off from a circular paper sheet of circumference $352$ cm. Then the circumference of each circular plate is -