7 Questions
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?
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?
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?
$1388.50
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?
5.7 m
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?
169 sq.m
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?
128 sq.cm
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.
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.
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