Question
On a rectangular wall of length 20 metres and height 21
metres, there is a window in the shape of triangle surmounted on a square. If the base of triangle and square overlap and length of each side of the square is 6 metres and length of altitude of the triangle is 3 metres, then excluding the window, what is the surface area (in m2) of the wall?Solution
Surface area of the entire wall = length × height = 20 × 21 = 420 m2 Surface area of the window = Sum of surface area of the square part + surface area of the triangular part = 62 + (1/2) × 6 × 3 = 36 + 9 = 45 m2 So, desired surface area = 420 – 45 = 375 m2
Salaries of A and B are in the ratio 5 : 7. If A’s salary increases by 20% and B’s salary decreases by 10%, what is the new ratio?
- Total number of students in a college is 960. The ratio of boys to girls is 3:5. The ratio of boys who passed to those who failed is 7:2. The ratio of girl...
A, B And C did certain investments and the ratio of their time periods is 3:2:7 respectively. The ratio of the profit of A, B, and C is 4:3:14 respectiv...
If the ratio of the sum invested and simple interest received after 1 year is 25:9 respectively, then find the rate of interest.
If the diagonal of a square is increased by 4 cm, its area increases by 56 cm2 . Find the ratio of the new area of the square to the initial ...
A box contains Rs. 930 in coins of Rs. 2, Rs. 5, and Rs. 8 denominations. The ratio of number of coins of Rs. 2, Rs. 5, and Rs. 8 is 6:5:7 respectively....
Ratio of present ages of mother and her son is 24:8 respectively. Father’s present age is 14 years more than that of mother. If the present average ag...
The ratio of the ages of A and B is 3:5. If the difference between their ages is 10 years, what is the sum of their ages?
The total number of cars to the total number of bikes in Showrooms P and Q is in the ratio 60:17. Additionally, the number of bikes in Showroom P to th...Samir distributed 625 gifts among 4 children. The first part of the child is twice the portion of the other child, three times the size of the third chi...
Relevant for Exams:
