Problem 1: The ratio of three angles of a quadrilateral are in the ratio 1: 6: 2. The measure of the fourth angle is 450. What is the difference between the largest and smallest angle?
Sum of four angles in a quadrilateral is 360
x+6x+2x+45 = 360
9x = 315
x = 35
Difference between smallest and largest angle is 6x-x = 5x
5x = 5*35 = 175
Problem 2: On increasing the diameter of a circle by 75 %, what will be the percentage increase in the perimeter?
If the radius is increased perimeter is also increases.
Actual diameter Increased diameter
Problem 3: If the longer side of a rectangle is doubled and the other reduced to half, then find what will be the percentage increment in the area of the new rectangle?
Let length =10 breadth = 10 ——->10*10=100
Double length =20 Half breadth=5——->20*5=100
No increment in the area.