Advertisements
Advertisements
Question
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?
Options
204
196
156
144
Advertisements
Solution
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
RELATED QUESTIONS
If the length and height of a brick increases by 10% each respectively, and the breadth reduces by 20%, what is the percentage change in the volume of the brick?
The area of the region bounded by the curves y2 = 4ax, x = 0 and x = a is
The slop of the tangent to the parabola y2 = 4 ax point (at2, 2at) will be:
When a polygon's all sides and angles are equal, it is said to be
A polygon having 7 sides is called
If the ratio of areas of two circles is 4: 9, then the ratio of their circumferences is
If surface area of cube be 1944 m2 then its volume is ______.
Find the percentage change in the number of revolutions made in a distance of 1 km by a wheel of diameter 15 cm, when its radius is increased by 0.25 cm.
If the area of a circle is 154 sq. cm, then what is the circumference of the circle?
The area of a circle is 2464 square metres. What will be its circumference?
