Breadth of a rectangle is equal to the diagonal of the square whose side is 2.5√2 cm. Ratio between length and breadth of rectangle is 3 : 1. Find the area of the rectangle (in cm2).
A) 75
B) 90
C) 85
D) 80
Answer: A) 75
Explanation:
Diagonal of Square = Side √2= 2.5√2 × √2= 5 cm Breadth = 5 cm Length of rectangle = 5 × 3 = 15 cm Area of rectangle = 15 × 5 = 75 cm2
A cone is hollowed out of a solid wooden cube of side 7 cm. The diameter and height of the cone is same as the side of the cube. What is the volume of the remaining cube?
By increasing the price of entry ticket to a fair in the ratio 5:7, the number of visitors to the fair has decreased in the ratio 11:9. In what ratio has the total collection increased or decreased?