Q.1
A boundary wall around a rectangular plot is constructed at a total cost of Rs. 46000 at the rate of Rs. 200 per metre. What is the area of the plot if the respective ratio between the breadth and the length of the plot is 10 : 13 ? (in sq. metre)
Q.2
The height of a triangle is equal to the perimeter of a square whose diagonal is $$8\sqrt 2 $$ metre and the base of the same triangle is equal to the side of a square whose area is 729 sq.metre. What is the area of the triangle ? (in sq. metre)
Q.3
The ratio of length and breadth of a rectangle is 3 : 2 respectively. The respective ratio of its perimeter and area is 5 : 9. What is the breadth of the rectangle in metres ?
Q.4
The area of a circle of radius 5 is numerically what percent of its circumference ?
Q.5
What is the minimum number of identical square tiles required to tile a floor of length 6 m 24 cm and width 4 m 80 cm ?
Q.6
A wire can be bent in the form of a circle of radius 56 cm. If it is bent in the form of a square, then its area will be :
Q.7
The perimeter of an isosceles triangle is equal to 14 cm and the lateral side is to the base in the ratio 5 : 4. The area of the triangle is :
Q.8
The areas of two equilateral triangles are in the ratio 25 : 36. Their altitudes will be in the ratio :
Q.9
The adjoining figure contains three squares with areas of 100, 16 and 49 lying side by side as shown. By how much should the area of the middle square be reduced in order that the total length PQ of the resulting three squares is 19 ?
Area mcq question image
Q.10
Two equal circle are drawn in square in such a way that a side of the square forms diameter of each circle. If the remaining area of the square is 42 cm2, how much will the diameter of the circle measure ?
Q.11
The area of a triangle is equal to the area of a square whose each side is 60 metres. The height of the triangle is 90 metres. The base of the triangle will be :
Q.12
If an angle of a triangle remains unchanged but each of its two including sides is doubled, then by what factor does the area get multiplied ?
Q.13
What would be the area of a rectangle whose area is equal to the area of a circle of radius 7 cm ?
Q.14
The perimeter of a rectangle is 60 metres. If its length is twice its breadth, then its area is :
Q.15
The length of a room is double its breadth. The cost of colouring the ceiling at Rs. 25 per sq. meter is Rs. 5000 and the cost of painting the four walls at Rs. 240 per sq. metre is Rs. 64800. Find the height of the room :
Q.16
The area of the shaded portion is :
Area mcq question image
Q.17
If the length of a rectangle is increased by 50% and breadth is decreased by 25%, what is the percentage change in its area ?
Q.18
The area of a square is 1024 sq.cm. What is the ratio of the length to the breadth of a rectangle whose length is twice the side of the square and breadth is 12 cm less than the side of this square ?
Q.19
The circumference of the front wheel of a cart is 40 ft long and that of the back wheel is 48 ft long. What is the distance travelled by the cart, when the front wheel has done five more revolutions than the rear wheel ?
Q.20
The altitude of an equilateral triangle of side $$2\sqrt 3 $$ cm is :
Q.21
A horse is tied at the corner of a rectangular field whose length is 20 m and width is 16 m, with a rope whose length is 14 m. Find the area which the horse can graze :
Q.22
The magnitude of the area of a circle is seven times that of its circumference. What is the circumference (in units) of the circle ?
Q.23
A small disc of radius r is cut out from a disc of radius R. The weight of the disc which now has a hole in it, is reduced to $$\frac{{24}}{{25}}$$ of the original weight. If R = xr, what is the value of x ?
Q.24
A man walked diagonally across a square lot. Approximately, what was the percent saved by not walking along the edges?
Q.25
A cow is tethered in the middle of a field with a 14 feet long rope. If the cow grazes 100 sq.ft per day, they approximately what time will be taken by the cow to graze the whole field ?
Q.26
The circumference of a circle is equal to the side of a square whose area measures 407044 sq.cm. What is the area of the circle ?
Q.27
The radius of the circum-circle of an equilateral triangle of side 12 cm is :
Q.28
The following squares represent the monthly income of two families
Area mcq question image
If the monthly income of family A is Rs. 40000, the monthly income of family B is ?
Q.29
The circumferences of the front and rear wheels of a bicycle are 3.5 m and 3 m respectively. If the vehicle is moving at a speed of 15 m/sec, the shortest time in which both the wheels will make a whole number of turns is :
Q.30
In ΔPQR, side PQ = 32 cm and side PR = 25 cm. What is the area of ΔPQR ?
Area mcq question image
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