Q.1
The ratio of the areas of a square of side 6 cm and an equilateral triangle of side 6 cm is :
Q.2
The area of a right-angled triangle is 20 sq.cm and one of the sides containing the right angle is 4 cm. The altitude on the hypotenuse is :
Q.3
If every side of a triangle is doubled, the area of the new triangle is K times the area of the old one. K is equal to :
Q.4
ABCD is a square. E is the mid-point of BC and F is the mid-point of CD. The ratio of the area of triangle AEF to the area of the square ABCD is :
Q.5
A rectangular plank $$\sqrt 2 $$ metre wide is placed symmetrically on the diagonal of a square of side 8 metres as shown in the figure. The area of the plank is :
Area mcq question image
Q.6
If the height of a triangle is decreased by 40% and its base is increased by 40%, what will be the effect on its area ?
Q.7
The diameter of a circle is 3.5 cm. What is the circumference of the circle ?
Q.8
If the perimeter of a square is equal to the radius of a circle whose area is 39424 sq. m. What is the area of the square ?
Q.9
A small ring of negligible thickness and radius 2 cm moves on a bigger rung of radius 10 cm. How many rotations will the small ring take on the bigger ring to make a complete round ?
Q.10
What will be the area of a semi-circle whose perimeter is 36 cm ?
Q.11
The area of the largest circle, that can be drawn inside a rectangle with side 18 cm by 14 cm, is :
Q.12
A farmer wishes to start a 100 sq.m rectangular vegetable garden. Since he has only 30 m barbed wire, he fences three sides of the garden letting his house compound wall act as the fourth side fencing. The dimension of the garden is :
Q.13
Two sides of a rectangle were measured. One of the sides (length) was measured 10% more than its actual length and the other side (width) was measured 5% less than its actual length. The percentage error in measure obtained for the area of the rectangle is :
Q.14
The area of a square is three-fifths the area of a rectangle. The length of the rectangle is 25 cm and its breadth is 10 cm less than its length. What is the perimeter of the square ?
Q.15
The area of a square with perimeter 48 cm, is :
Q.16
The area of a rectangle is thrice that of a square. If the length of the rectangle is 40 cm and its breadth is $$\frac{3}{2}$$ times that of the side pf the square, then the side if the square is :
Q.17
If the length of a certain rectangle is decreased by 4 cm and the width is increased by 3 cm, a square with the same area as the original rectangle would result. The perimeter of the original rectangle (in cm) is :
Q.18
The area of a triangle is p sq.cm and its base is x cm. What is the height of the triangle (in cm) ?
Q.19
Perimeter of a rectangular field is 160 metres and the difference between its two adjacent sides is 48 metres. The side of a square field, having the same area as that of the rectangle, is :
Q.20
A triangle of area 9y cm2 has been drawn such that its area is equal to the area of an equilateral triangle of side 6 cm. The value of y would be :
Q.21
Three circle of radius 3.5 cm are placed in such a way that each circle touches the other two. The area of the portion enclosed by the circles is :
Q.22
The length and breadth of a square are increased by 40% and 30% respectively. The area of the resulting rectangle exceeds the area of the square by :
Q.23
The length, breadth and height of the room are in the ratio 3 : 2 : 1. The breadth and height of the room are halved and length of the room is doubled. The area of the four walls of the room will :
Q.24
The total surface area of a right circular cylinder with radius of the base 7 cm and height 20 cm, is :
Q.25
The ratio of bases of two triangles is x : y and that of their areas is a : b. Then the ratio of their corresponding altitudes will be :
Q.26
A vertical rod of height 33 metres is bent to form a semi-circular shape so that the top touches the ground. The distance between the top head and the base on the ground is :
Q.27
The area of a rectangle field is 52000 m2 . This rectangular area has been drawn on a map to the scale 1 cm to 100 m. The length is shown as 3.25 cm on the map. The breadth of the rectangular field is :
Q.28
If the length of a rectangle is increased by 10% and its breadth is decreased by 10%, the change in its area will be :
Q.29
The sides of a rectangle are 8 cm and 6 cm. The corners of the rectangle lie on a circle. Find the are a of the circle without the rectangle :
Q.30
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 ?
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