Mensuration quiz

The perimeter of a square of side 9 cm is:

The perimeter of a rectangle of length 8 cm and breadth 5 cm is:

The area of a rectangle 7 m long and 4 m wide is:

The area of a square of side 6 cm is:

The perimeter of an equilateral triangle of side 5 cm is:

Area is measured in:

If the perimeter of a square is 48 cm, its side is:

While counting squares to find area, a square that is more than half covered is counted as:

A regular pentagon of side 4 cm has perimeter:

The area of a rectangle is 60 square cm and its length is 12 cm. Its breadth is:

Find the perimeter of a regular hexagon of side 8 m. (2 marks)

The length of a rectangle is 20 cm and its perimeter is 64 cm. Find its breadth. (2 marks)

How many square centimetres are there in 1 square metre? Show the working. (2 marks)

Find the area of a square whose perimeter is 28 cm. (2 marks)

Why do we need to know the perimeter for fencing a field but the area for carpeting a floor? (2 marks)

A side of an equilateral triangle is 6.5 cm. Find its perimeter. (2 marks)

Find the perimeter of a quadrilateral with sides 5.2 cm, 6.8 cm, 4.5 cm and 7 cm. (2 marks)

Find the area of a rectangular field 120 m long and 75 m wide. (2 marks)

Two squares have sides 4 cm and 8 cm. How many times is the area of the larger square compared to the smaller one? (2 marks)

State the rules for counting squares while finding the area of an irregular figure. (2 marks)

Find the cost of fencing a square park of side 250 m at the rate of Rs 20 per metre. (3 marks)

Avneet buys 9 square paving slabs, each with a side of 1/2 m. He lays them in the form of a 3 x 3 square. Find the perimeter of the arrangement. (3 marks)

The floor of a room is 5 m long and 4 m wide. A square carpet of side 3 m is laid on it. Find the area of the floor that is not carpeted. (3 marks)

A door of length 2 m and breadth 1 m is fitted in a wall 10 m long and 5 m high. Find the cost of white-washing the wall, excluding the door, at Rs 20 per square metre. (3 marks)

Sheela runs 3 rounds of a square park of side 75 m. Fatima runs 3 rounds of a rectangular park 70 m long and 60 m wide. Who covers more distance and by how much? (3 marks)

Read the passage and answer the questions. A farmer has a rectangular field 230 m long and 160 m wide. He wants to fence it with 3 rounds of rope tightly around the field. Rope costs Rs 5 per metre. (i) Find the perimeter of the field. (ii) Find the total length of rope needed. (iii) Find the cost of the rope. (5 marks)

Read the passage and answer the questions. Mr. Rao is tiling the floor of his kitchen, which is 4 m long and 3 m wide. Each square tile has a side of 20 cm. The tiles cost Rs 25 each. (i) Find the area of the floor in square centimetres. (ii) Find the number of tiles required. (iii) Find the cost of tiling. (5 marks)

Read the passage and answer the questions. A rectangular photo 20 cm long and 15 cm wide is pasted on a card leaving a margin of 2 cm on every side. The card is then framed with wooden strips along its edges. (i) Find the length and breadth of the card. (ii) Find the length of wooden strip needed for the frame. (iii) Find the area of the card not covered by the photo. (5 marks)

Read the passage and answer the questions. A school playground is a square of side 80 m. Inside it, a rectangular basketball court 28 m long and 15 m wide is marked. The rest of the playground is grassy. (i) Find the area of the playground. (ii) Find the area of the basketball court. (iii) Find the grassy area. (5 marks)

Read the passage and answer the questions. Ravi has a piece of wire 36 cm long. He first bends it into a square and then straightens it and bends it into a rectangle of length 12 cm. (i) Find the side of the square. (ii) Find the breadth of the rectangle. (iii) Which shape has more area and by how much? (5 marks)

Draw a rectangle ABCD with AB = 6 cm and BC = 4 cm. Explain why perimeter = 2 x (length + breadth) by adding the sides. Find its perimeter and area. If the length is doubled and breadth stays the same, find the new perimeter and area and compare. (6 marks)

Draw on squared paper three different rectangles each having area 12 square units. Find the perimeter of each and state which has the least perimeter. What can you conclude about shapes with the same area? (6 marks)

Draw a figure made of a square of side 6 cm with an equilateral triangle of side 6 cm on top, like a house shape. Mark the sides and find the perimeter of the whole figure. Find the area of the square part. Explain why the common side is not included in the perimeter. (6 marks)

A rectangular garden 40 m long and 25 m wide has a path 2 m wide running inside it along all four sides. Draw a labelled diagram. Find the area of the whole garden, the area of the inner part without the path, and the area of the path. (6 marks)

Draw an irregular closed figure on squared paper and explain how to estimate its area by counting full, more than half, half and less than half squares. A figure covers 18 full squares, 8 more-than-half squares, 6 half squares and 5 less-than-half squares, each square being 1 square cm. Find its approximate area. (6 marks)