Advertisements
Advertisements
प्रश्न
Find the area of the quadrilateral ABCD in which in AB=42 cm, BC=21 cm, CD=29cm, DA=34 cm and diagonal BD = 20 cm.
उत्तर
Area of ΔABD=`sqrt(s(s-a)(s-b)(s-c))`
`s=1/2(a+b+c)`
`s=(42+20+34)/2`
`s= 48 cm`
Area of ` ΔABD=sqrt(48(48-42)(48-20)(48-34))`
=`sqrt(48xx6xx28xx14)`
=`sqrt(112896)`
=`336 cm^2`
Area of` Δ BDC=sqrt(s(s-a)(s-b)(s-c))`
s=`1/2 (a+b+c)`
s=`(21+20+29)/2`
s=`35 cm`
Area of Δ BDC= `sqrt(35(35-29)(35-20)(35-21))`
=`sqrt(35xx6xx15xx14)`
= `sqrt(44100)`
=`210cm^2`
∴ Area of quadrilateral ABCD = Area of ΔABD+ Area of ΔBDC
=`336+210`
=`546cm^2`
APPEARS IN
संबंधित प्रश्न
The cost of fencing a square lawn at ₹ 14 per meter is ₹ 28000. Find the cost of mowing the lawn at ₹ 54 100 per `m^2`
Find the area of the shaded region in the following figure, if AC = 24 cm, BC = 10 cm and O is the centre of the circle. (Use π = 3.14)
The area of the incircle of an equilateral triangle of side 42 cm is
The radii of two circles are 8 cm and 6 cm. Find the radius of the circle having area equal to the sum of the areas of the two circles.
The length of an arc of a circle, subtending an angle of 54° at the centre, is 16.5 cm. Calculate the radius, circumference and area of the circle.
The diameter of the wheels of a bus is 140 cm. How many revolutions per minute do the wheels make when the bus is moving at a speed of 72.6 km per hour?
In the given figure, ABCD is a square each of whose sides measures 28 cm. Find the area of the shaded region.
A lawn is in the shape of a semicircle of diameter 42m. the lawn is surrounded by a flower bed of width 7m all round. Find the area of the flower bed in m2.
In a grassland, a sheep is tethered by a rope of length 4.9 m. Find the maximum area that the sheep can graze
Area of a rectangle and the area of a circle are equal. If the dimensions of the rectangle are 14 cm × 11 cm, then radius of the circle is ______.
