To which of the following shapes the area can’t be calculated if the perimeter is given?
Answer(s): C
The perimeter of a rectangle is 2a + 2b. In order to calculate the area we need to know the multiplication of a x b.
A and B are two circles. The radius of A is twice as large as the diameter of B. What is the ratio between the areas of the circles?
Answer(s): D
The radius of circle A is 4 times larger than the radius of circle B. The area of a circle is a function of the radius squared, therefore the area of radius A is 16 times bigger.
A, B, C, D and E are 5 consecutive points on a straight line. If BC = 2CD, DE = 4, AB = 5 and AC = 11, what is the length of AE?
First, draw the line and the points.In order to find the length of AE, find the length of CD and BC first. BC = AC – AB = 11 – 5 = 6.BC = 2CD CD = 3.AE = 5 + 6 + 3 + 4 = 18.
In a rectangular axis system, what is the distance between the following points: A(3,2) and B(7,5) ?
Answer(s): A
First, draw a rectangular axis system and mark the two points.The easiest way to find the distance between them is to draw a triangle, where the line AB is the hypotenuse. You can see that the length of one side of the triangle is (5-2=3) and the other side is (7-3=4). The length of the line AB is received with the helpOf the Pythagoras principle: = 5.
In a rectangular axis system, what is approximate distance between the following points: C(1,2.5) and D (6.5,5.5) ?
First, draw a rectangular axis system and mark the two points.The easiest way to find the distance between them is to draw a triangle, where the line CD is the hypotenuse.You can see that the length of one side of the triangle is(5.5 - 2.5 = 3) and the other side is (6.5 – 1 = 5.5). The length of the line CD is received with the help Of the Pythagoras principle.
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