Questions & Answers: "Perimeter and Area"

Surface area of a sphere is 616 sq.cm. Which of the following is an incorrect alternative related to the sphere with double the radius of that sphere?

Side of the adjoining square MNOP is 18 cm. Points ‘X’ and ‘Y’ are the midpoints of the sides MP and NO respectively. Find the area of the shaded region.

A square shaped compound of a temple has side 40 m. On each side of the compound, triangular gardens of side equal to that of the side of the compound are there. What will be the total cost of 5 rounds of wire fencing for protection from their outer edges only, for all the gardens, at the rate of Rs. 80 per m of wire?

Area of the square hall with height 4 m. is 49 sq.m. What will be the total cost (in rupees) of colouring all the walls of that hall at the rate of Rs. 300 per sq.m.?

The conical tent with height 21 m. has base circumference 176 m. How much air (in cubic m.) can be contained in that tent?

A side of a square is congruent to the 30 cm. diagonal of second square. Select an incorrect alternative from the given, for the relation between the areas of two squares.

Ratio of the lengths of the diagonals of a 20 cm. sided rhombus is 3:4. What will be the area in sq.cm. of that rhombus?

In the following figure, EFGH is a rhombus with diagonal 28 cm. and vertices are on the circle with centre ‘O’. Find the area of the shaded region.

Height of the trapezium PQRS shown in the adjoining figure is 8 cm. seg ST ≅ seg PS and l(PQ) = l(SR) = 17cm. Then find the perimeter of PQRS in cm.

A ditch 20 m. long 10 m. wide and 5 m. deep was dug and soil was spread evenly over a ground that was 25 m. long and 20 m. wide. What was the thickness of the soil spread? (Choose two correct options)

A square piece of paper having length 8 cm. is taken, squares of size 1 cm × 1 cm are cut at its four corner places. Find the difference between the perimeters of the original paper and the paper which is cut at its corner places in cms.