Question
Each side of square βAβ is 4 cm less than that of
square βBβ. The perimeter of a rectangle is 3 times the difference of the perimeters of the two square. If the length of the rectangle is 15 cm, then find its breadth.Solution
Let each side of the square βAβ be βaβ cm Therefore, each side of square βBβ = (a + 4) cm Difference between their perimeters = 4(a + 4) β 4a = 16 cm Therefore, perimeter of the rectangle = 3 Γ 16 = 48 cm Let the breadth of the rectangle be βbβ cm According to the question, 2 Γ (15 + b) = 48 Or, 15 + b = 24 Or, b = 9 cm
A person travels from city A to city B at 60 km/h and returns at 40 km/h. If the total time taken for the round trip is 6 hours, find the distance betwe...
Determine the value of 'x' if the average of the numbers 32, 34, 38, 21, 26, and 'x' is 30.
Find the simplified value of the following expression:
(16.25 Γ 24 + 7 Γ β36) Γ· 23 + 3.75 Γ 16 β 37 Γ 2 + 7.5
...A company earns βΉ3000 from selling 200 units of a product. If the fixed cost is βΉ1000 and the variable cost per unit is βΉ5, what is the profit or ...
The inequality | 2x β 3 | < 5Β is satisfied for:
If z=2+3i, then arg(z)=ΞΈ lies in which quadrant?
The income of Surya is Rs. 75,000. He spent 16(2/3)%Β of his income on food, 60% of the remaining income on rent and saved 44% of the income remaining a...
The current age of 'Aman' is 16 years greater than that of 'Bhanu'. In four years, the ratio of their ages will be 5:3. What is t...
Two pipes A and B can fill a tank in 12 hours and 16 hours, respectively. A third pipe C can empty the tank in 24 hours. If all three pipes are opened t...
Disk access time is measured in ____________.