Advertisements
Advertisements
प्रश्न
A field is in the shape of a quadrilateral ABCD in which side AB = 18 m, side AD = 24 m, side BC = 40m, DC = 50 m and angle A = 90°. Find the area of the field.
Advertisements
उत्तर
Since ∠A = 90°
By Pythagorus Theorem,
In ∆ABD,
Now, the area of ΔABD = `1/2 (18)(24)`
= (18) (12) = 216 m2
In ΔABD
BD = `sqrt("AB"^2 + "AD"^2) = sqrt(18^2 + 24^2)`
= `sqrt(324 + 576) = sqrt(900) = 30`m.
S = `120/20 = 60 cm^2`
=`sqrt( 60xx10xx20xx30)`
= `sqrt(10xx2xx3xx10xx10xx2xx10xx3)`
= 10 × 10 × 6
= 600 cm2
Area of quadrilateral ABCD
= 816cm2
APPEARS IN
संबंधित प्रश्न
The length of the sides of a triangle are in the ratio 3: 4: 5. Find the area of the triangle if its perimeter is 144 cm.
Find the area of a triangle, whose sides are :
21 m, 28 m, and 35 m
The base and the height of a triangle are in the ratio 4: 5. If the area of the triangle is 40 m2; find its base and height.
The base and the height of a triangle are in the ratio 5 : 3. If the area of the triangle is 67.5 m2; find its base and height.
The area of an equilateral triangle is numerically equal to its perimeter. Find its perimeter correct to 2 decimal places.
Find the area of a triangle whose base is 3.8 cm and height is 2.8 cm.
Find the area of a triangle whose sides are 27 cm, 45 cm and 36 cm.
The cost of fencing a triangular field at the rate of Rs.15 per m is Rs.900. If the lengths of the triangle are in the ratio 3:4:5, find the area of the triangle and the cost of cultivating it at Rs.48 per kg sq.m.
Find the perimeter and the area of a right angled triangle whose sides are 6 feet, 8 feet and 10 feet
The scalene triangle has 40 cm as its perimeter and whose two sides are 13 cm and 15 cm, find the third side
