Podcast
Questions and Answers
What is the altitude of an equilateral triangle if its side is 8 cm?
What is the altitude of an equilateral triangle if its side is 8 cm?
4√3 cm
How many tiles, each 16 cm long and 10 cm wide, are required to pave a rectangular courtyard that is 16 m long and 10 m wide?
How many tiles, each 16 cm long and 10 cm wide, are required to pave a rectangular courtyard that is 16 m long and 10 m wide?
100 tiles
If the length and breadth of a rectangle are in the ratio 2:1, and its area is 4050 sq.m, what is the diagonal of the rectangle?
If the length and breadth of a rectangle are in the ratio 2:1, and its area is 4050 sq.m, what is the diagonal of the rectangle?
90 m
If the length of a rectangular garden is thrice its breadth and its area is 33075 sq.m, how much would it cost to surround it with a fence at the rate of $13.25 per metre?
If the length of a rectangular garden is thrice its breadth and its area is 33075 sq.m, how much would it cost to surround it with a fence at the rate of $13.25 per metre?
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If the area of a triangle standing on a base of 30 m and 90 cm is 169.95 sq.m, what is the height of the triangle?
If the area of a triangle standing on a base of 30 m and 90 cm is 169.95 sq.m, what is the height of the triangle?
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In a square garden with each side 20 m, traversed by two paths at right angles of 3 m and 2 m wide, what is the area of each bed created?
In a square garden with each side 20 m, traversed by two paths at right angles of 3 m and 2 m wide, what is the area of each bed created?
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In a given rectangle ABCD with length 20 cm and breadth 8 cm, and AE measuring 5 cm, what is the area of the figure DEBF?
In a given rectangle ABCD with length 20 cm and breadth 8 cm, and AE measuring 5 cm, what is the area of the figure DEBF?
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Study Notes
Geometry and Measurement
- An equilateral triangle with a side of 8 cm has an altitude that can be calculated.
- A rectangular courtyard with a length of 16 m and a width of 10 m requires tiles to be paved, where each tile is 16 cm long and 10 cm wide.
Rectangles and Ratios
- A rectangle with a length to breadth ratio of 2:1 has an area of 4050 sq.m, and its diagonal can be calculated.
- A rectangular garden with a length three times its breadth has an area of 33075 sq.m, and its perimeter can be calculated to find the cost of a fence at $13.25 per metre.
Triangles and Heights
- A triangle with a base of 30 m and a height that can be calculated has an area of 169.95 sq.m.
Gardens and Paths
- A square garden with 20 m sides has paths of 3 m and 2 m widths, creating beds with areas that can be calculated.
Rectangles and Sub-figures
- In a rectangle ABCD with a length of 20 cm and a breadth of 8 cm, a figure DEBF can be created by drawing a line AE of 5 cm, and its area can be calculated.
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Description
Test your knowledge on calculating areas of different geometric shapes and determining altitudes. Practice solving problems involving equilateral triangles, squares, and semicircles. Challenge yourself with various examples and solutions.
