Advertisements
Advertisements
Question
Top surface of a raised platform is in the shape of a regular octagon as shown in the figure. Find the area of the octagonal surface.
Advertisements
Solution
Area of octagon = Area of (ABDC) + Area of (CDFE) + Area of (EFHG)
= `{1/2 [(5+11) xx 4] + (11 xx 5) + 1/2 [(5 + 11) xx 4]}m^2`
= `{1/2 (16 xx 4) + 55 + 1/2 (16 xx4)}m^2`
= `{1/2 xx 64 + 5 + 1/2 xx 64}m^2`
= {32 + 55 + 32}m2
= 119m2
APPEARS IN
RELATED QUESTIONS
The area of a trapezium is 960 cm2. If the parallel sides are 34 cm and 46 cm, find the distance between them.
Top surface of a table is trapezium in shape. Find its area if its parallel sides are 1 m and 1.2 m and perpendicular distance between them is 0.8 m.
The two parallel sides and the distance between them are in the ratio 3: 4: 2. If the area of the trapezium is 175 cm2, find its height.
Find the area of the trapezium ABCD in which AB || DC, AB = 18 cm, ∠B = ∠C = 90°, CD = 12 cm and AD = 10 cm.
Find the missing values.
| Height 'h' | Parallel side 'a` | Parallel side 'b` | Area |
| 16 cm | 15 cm | 360 sq.cm |
Find the area of a trapezium whose parallel sides are 24 cm and 20 cm and the distance between them is 15 cm
When the non-parallel sides of a trapezium are equal then it is known as
The table top is in the shape of a trapezium with measurements given in the figure. Find the cost of the glass used to cover the table at the rate of ₹ 6 per 10 sq.cm
A trapezium with 3 equal sides and one side double the equal side can be divided into ______ equilateral triangles of ______ area.
The area of a trapezium become 4 times if its height gets doubled.
