Question
Length of each side of a rhombus is 13 cm and one of the
diagonal is 24 cm. What is the area (in cm2) of the rhombus?Solution
We have, s = 13 cm d1 = 24 cm d2 = 2radic;(132 ndash; 122) d2 = 2radic;(169 ndash; 144) d2 = 2radic;25 d2 = 2 times; 5 = 10 Area of rhombus = (1/2) (d1 times; d2) =gt; 1/2 times; 24 times; 10 =gt; 12 times; 10 =gt; 120 cm2
If 15 men can complete a work in 24 days, how many days will it take 10 men to complete the same work?
Pawan and Bhanu started a business with their investments in the ratio 5:7. After 6 months, Raju joined the business with an inve...
In how many ways can 4 distinct books be distributed into 2 identical boxes such that no box is empty?
A trader marks the price of a product at ₹800 and allows a discount of 15%. If the trader also pays a tax of 5% on the discounted price, what is the t...
If a person invests ₹50,000 in a scheme offering a compound interest of 5% per annum, calculate the total amount he will have after 3 years. Assume th...
If 75% of income of ‘Akshat’ is equal to 60% of income of ‘Bhaskar’, then find the income of ‘A’ is how much percentage of income of ‘Bhas...
A right square pyramid has a base of side 10 cm and slant height 13 cm.
(a) Find its lateral surface area.
(b) If its vertical height is 1...
A complex number z lies on or within a circle centered at (2, 0) with radius 5 units. What is the maximum value of |z – 2|?
A sum of Rs. 'Y' was invested for 7(1/4) years at simple interest of 8(2/5)% p.a. such that the simple interest received was Rs. 5,115.60. Find the si...
Three boxes B1, B2, B3 contain red and green balls in the ratio 1:1, 3:5, and 5:3 respectively. A box is selected at random and a ball is drawn. What is...