Mensuration Quiz

A rectangular garden has a length that is 3 meters more than twice the side of a square garden. The perimeter of the rectangle is 72 meters. If the side of the square garden is half the length of one side of the rectangle. Find the area of the square garden.

1. 147.45 sq m
2. 174.24 sq m
3. 254.6 sq m
4. 564.25 sq m

Answer: (b) 174.24 sq m

The perimeter of a rectangle is 48 cm, and its length is 14 cm. What is its breadth?

1. 16 cm
2. 12 cm
3. 10 cm
4. 15 cm

Answer: (c) 10 cm

The perimeter of an isosceles triangle is 40 cm. If the base is 10 cm, what is the length of each equal side?

1. 15 cm
2. 18 cm
3. 20 cm
4. 24 cm

Answer: (a) 15 cm

The area of a rectangular field is 1600 m. If the length of the field is 80 m, find the perimetre of the field.

1. 150 m
2. 120 m
3. 200 m
4. 100 m

Answer: (c) 200 m

A square and a rectangle have the same perimeter. The side of the square is 10 cm and the length of the rectangle is 12 cm. What is the width of the rectangle?

1. 8 cm
2. 10 cm
3. 6 cm
4. 12 cm

Answer: (a) 8 cm

Ana has a chart paper that measures 90 cm × 40 cm, whereas Ema has one which measures 50 cm × 70 cm. Which will cover more area on the table and by how much?

1. Ema
2. Both are equal
3. Ema's chart paper covers 100 cm² more area than Ana's.
4. Ana's chart paper covers 100 cm² more area than Ema's.

Answer: (d) Ana's chart paper covers 100 cm² more area than Ema's.

A rectangle has a length of 12 cm and a breadth of 5 cm. If its length is reduced by 2 cm and breadth is increased by 1 cm, what will be the new area?

1. 55 cm²
2. 65 cm²
3. 60 cm²
4. 50 cm²

Answer: (c) 60 cm²

The dimensions of a photographs are 30 cm × 20 cm. What length of wooden frame is needed to frame the picture?

1. 160 cm
2. 140 cm
3. 120 cm
4. 100 cm

Answer: (d) 100 cm

How many square metres of glass will be required for a window, which has 12 panes, each pane measuring 25 cm by 16 cm?

1. 0.48 m^2
2. 480 cm
3. 26 m
4. 0.26 m

Answer: (a) 0.48 m^2

The length and breadth of a rectangle are tripled. How does its area change?

1. Doubles
2. Becomes 9 times
3. Remains the same
4. Triples

Answer: (b) Becomes 9 times