Q.1
A big rectangular plot of area 4320 m2 is divided into 3 square-shaped smaller plots by fencing parallel to the smaller side of the plot. However some area of land was still left as a square could not be formed. So, 3 more square-shaped plots were formed by fencing parallel to the longer side of the original plot such that no area of the plot was left surplus. What are the dimensions of the original plot ?
Q.2
If x is the length of a median of an equilateral triangle, then its area is :
Q.3
The area of the shaded region in the adjoining figure is
Area mcq question image
Q.4
An equilateral triangle is described on the diagonal of a square. What is the ratio of the area of the triangle to that of the square ?
Q.5
A rectangle of certain dimension is chopped off from one corner of a larger rectangle as shown. AB = 8 cm and BC = 4 cm. The perimeter of the figure ABCPQRA (in cm) is :
Area mcq question image
Q.6
A garden is 24 m long and 14 m wide. There is a path 1 m wide outside the garden along its sides. If the path is to be constructed with square marble tiles 20 cm × 20 cm, the number of tiles required to cover the path is :
Q.7
In the given diagram, ABCD is a square and semi-circular regions have been added to it by drawing two semi-circles with AB and CD as diameters. If the total area of the three regions is 350 sq.cm, then the length of the side of the square is equal to : Area mcq question image
Q.8
The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 minutes, the n the area of the park (in square metre) is :
Q.9
An order was placed for supply of carpet of breadth 3 metres, the length of carpet was 1.44 times of breadth. Subsequently the breadth and length were increased by 25 and 40 percent respectively. At the rate of 45 per square metre, what would be the increase in the cost of the carpet ?
Q.10
The dimensions of a rectangle are 51 m and 49 m respectively while side of a square is 50 m. Which of the following statements is correct ?
Q.11
The ratio of the areas of the in-circle and the circum-circle of a square is :
Q.12
If the circumference of a circle is decreased by 50% then the percentage of decrease in its area is :
Q.13
The ratio between the length and the perimeter of a rectangular plot is 1 : 3. What is the ratio between the length and breadth of the of the plot ?
Q.14
There are 4 semi-circular gardens on each side of a square-shaped pond with each side 21 m. The cost of fencing the entire plot at the rate of Rs. 12.50 per metre is :
Q.15
A diagonal of a rhombus is 6 cm. If its area is 24 cm2 then the length of each side of the rhombus is :
Q.16
If each side of a rectangle is increased by 50%, its area will increase by :
Q.17
A rectangular field has dimensions 25 m by 15 m. Two mutually perpendicular passages, 2 m wide have been left in its central part and grass has been grown in rest of the field. The area (in sq. metres) under the grass is :
Q.18
A room is $$12\frac{1}{4}$$ m long and 7 m wide. The maximum length of a square tile to fill the floor of the room with whole number of tiles should be :
Q.19
If the area of a square increase by 69%, then the side of the square increases by :
Q.20
A square and an equilateral triangle have equal perimeters. If the diagonal of the square is $$12\sqrt 2 $$ cm, then the area of the triangle is :
Q.21
What is the area of the shaded region ?
Area mcq question image
Q.22
One side of a right-angled triangle is twice the other, and the hypotenuse is 10 cm. The area of the triangle is :
Q.23
A courtyard is 25 m long and 16 m broad is to be paved with bricks of dimensions 20 cm by 10 cm. What is the total number of bricks required ?
Q.24
The cost of papering the four walls of a room is Rs. 475. Each one of the length, breadth and height of another room is double that of this room. The cost of papering the walls of this new room is :
Q.25
The area of two similar triangles are 12 cm2 and 48 cm2. If the height of the smaller one is 2.1 cm, then the corresponding height of the bigger one is :
Q.26
Which of the following figures has the longest perimeter ?
Q.27
The perimeter of a circular field and a square field are equal. If the area of the square field is 12100 m2, the area of the circular field will be :
Q.28
A toothed wheel of diameter 50 cm is attached to a smaller wheel of diameter 30 cm. How many revolutions will the smaller wheel make the larger one makes 15 revolutions ?
Q.29
If the length of the diagonal of a square is 20 cm, then its perimeter must be :
Q.30
The area of a square is twice that of a rectangle. The perimeter of the rectangle is 10 cm. If its length and breadth each is increased by 1 cm, the area of the rectangle become equal to the area of the square. The length of side of the square is :
0 h : 0 m : 1 s