A square

A square with length of diagonals 12cm give:
a) Calculate the area of a square
b) rhombus with the same area as the square, has one diagonal with length of 16 cm. Calculate the length of the other diagonal.

Result

S =  72 cm2
u3 =  9 cm

Solution:  Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...): Be the first to comment! To solve this verbal math problem are needed these knowledge from mathematics:

Pythagorean theorem is the base for the right triangle calculator.

Next similar examples:

1. Diagonals Given a rhombus ABCD with a diagonalsl length of 8 cm and 12 cm. Calculate the side length and content of the rhombus.
2. Square diagonal Calculate the length of diagonal of the square with side a = 23 cm.
3. Tree trunk What is the smallest diameter of a tree trunk that we can cut a square-section square with a side length of 20 cm?
4. Logs The log has diameter 30 cm. What's largest beam with a rectangular cross-section can carve from it?
5. Bricklayer How much do we pay for a bricklayer laying a pavement in a square room with a diagonal of 8 m, if 1 sqm with work will cost for CZK 420?
6. Silver medal To circular silver medal with a diameter of 10 cm is inscribed gold cross, which consists of five equal squares. What is the content area of silver part?
7. Diamond perimeter Calculate the diamond circumference which area is 288 cm square and one diagonal has a size of 124 cm.
8. Diagonal of square Calculate the side of a square when its diagonal is 10 cm.
9. Content area and percents Determine what percentage is smaller cube surface, when the surface area of the wall decreases by 25%.
10. Diagonals in diamons/rhombus Rhombus ABCD has side length AB = 4 cm and a length of one diagonal of 6.4 cm. Calculate the length of the other diagonal.
11. Diamond Calculate the length of the two diagonals of the diamond if: a = 13 cm v = 12 cm
12. Rhombus diagonal Area of rhombus is 224. One diagonal measures 33, find length of other diagonal.
13. Satin Sanusha buys a piece of satin 2.4 m wide. The diagonal length of the fabric is 4m. What is the length of the piece of satin?
14. Diagonals of a rhombus One of the diagonals of a rhombus is twice as the other. If the sum of the lengths of the diagonals is 24, find the area of the rhombus.
15. Diamond Determine the side of diamond if its content is S = 353 cm2 and one diagonal u2 = 45 cm.
16. Trapezium The area of trapezium is 35 cm2. Find its altitude if the bases are 6cm and 8 cm.
17. Holidays - on pool Children's tickets to the swimming pool stands x € for an adult is € 2 more expensive. There was m children in the swimming pool and adults three times less. How many euros make treasurer for pool entry?