A rectangular mat has an area of 120 sq.metres and perimeter of 46 m. The length of its diagonal is:
Suppose, rectangular has lengtha and width b.Then, an areaof rectangular equals:(1) S = a*b =120 sq metresand a perimeterequals:P = 2a + 2b =46 metres(2) a + b = P/2 =23The length of itsdiagonal is:l^2 = a^2 + b^2But, a^2 + b^2 = (a + b)^2 - 2abTherefore:l^2 = (P/2)^2 - 2S = 23^2 - 2*120 = 289l = Sqrt[289] = 17 metresAnswer: The length of diagonal is 17 metres
The ratio of the areas of two squares, one having double its diagonal then the other is:
A rectangular courtyard 3.78 m lang and 5.25 m broad is to be paved exactly with square tiles, all of the same size. The minimum number of such tiles is:
A rectangle measures 8 Cm on length and its diagonal measures 17 Cm. What is the perimeter of the rectangle
The sides of a rectangle are in the ratio of 6 : 5 and its area is 1331 sq.m. Find the perimeter of rectangle.
A is a point on y-axis at a distance of 5 units from x-axis lying below x-axis. The co-ordinates of A are:
