Advertisements
Advertisements
प्रश्न
The parallel sides of a trapezium-shaped field are 25 m and 10 m and non-parallel sides are 14 m and 13 m. What is the area (in m2 ) of the field?
पर्याय
204
196
156
144
Advertisements
उत्तर
196
Explanation:
Height of the trapezium
AE = BF = h m
From Δ AED and Δ BCF,
(AE)2 = (BF)2
(14)2 - (15 - x)2 = (13)2 - x2
(196 - 169) = 225 - 30x
30x = 198
x = 6.6 m
In Δ BCF, (13)2 - (6.6)2 = h2
h = `sqrt(169 - 43.56)`
h = 11.2 m
Area of the trapezium
`= 1/2 xx ("a" + "b") xx "h"`
`= 1/2 (10 + 25) xx 11.2`
= 196 m2
APPEARS IN
संबंधित प्रश्न
The height of the cylinder of maximum volume that can be inscribed in a sphere of radius r is:
A triangle that has 3 equal sides and 3 equal angles is known as
A polygon having 3 sides is called
A polygon having 7 sides is called
A line segment joining any 2 points on circumference of a circle is called
Two straight poles of unequal length stand upright on a ground. The length of the shorter pole is 10 m. A pole joins the top of the two vertical poles. The distance between the two tops is 5 m. The distance between the poles along the ground is 4 m. The area thus formed by the three poles with the ground is:
If the radii of the bases of a cylinder and a cone are in the ratio of 3 : 4 and their heights are in the ratio 2 : 3, then the ratio of their volumes is
A boy walked along two adjacent sides of a rectangular field. If he had walked along the diagonal, then he would have saved a distance equal to one-fourth of the larger side. The ratio of the smaller to the larger side is:
The external dimensions of a closed plastic box are 12 cm × 10 cm × 6 cm. If the thickness of plastic sheet is 1.5 cm, find the capacity of the box.
What is the area of a circle with a circumference of 88 cm?
