Advertisements
Advertisements
Question
Trapezium given below; find its area.
Advertisements
Solution
Area of ΔEBC = `1/4 xx 8 xx sqrt( 4 xx 10^2 - 8^2 )`
= `1/4 xx 8 xx 18.3`
= 36.6 cm2
Again
Area of ΔEBC = `1/2` x 8 x h
36.6 = 4h
h = 9.15
Area of ABCD = `1/2 xx ( 12 + 20 ) xx 9.15`
= `1/2` x 32 x 9.15
= 146.64 sq.cm
APPEARS IN
RELATED QUESTIONS
The diagonal of a quadrilateral shaped field is 24 m and the perpendiculars dropped on it from the remaining opposite vertices are 8 m and 13 m. Find the area of the field.
Trapezium given below; find its area.
Calculate the area of the figure given below:
Which is not drawn scale.
The length of a rectangular verandah is 3 m more than its breadth. The numerical value of its area is equal to the numerical value of its perimeter.
(i) Taking x as the breadth of the verandah, write an equation in x that represents the above statement
(ii) Solve the equation obtained in (i) above and hence find the dimensions of the verandah.
A floor that measures 15 m x 8 m is to be laid with tiles measuring 50 cm x 25 cm. Find the number of tiles required.
Further, if a carpet is laid on the floor so that a space of 1 m exists between its edges and the edges of the floor, what fraction of the floor is left uncovered?
A triangle and a parallelogram have the same base and the same area. If the side of the triangle is 26 cm, 28 cm, and 30 cm and the parallelogram stands on the base 28 cm, find the height of the parallelogram.
Find the area and the perimeter of a square with diagonal 24 cm. [Take √2 = 1.41 ]
The floor of a room is of size 6 m x 5 m. Find the cost of covering the floor of the room with 50 cm wide carpet at the rate of Rs.24.50 per metre. Also, find the cost of carpeting the same hall if the carpet, 60 cm, wide, is at the rate of Rs.26 per metre.
Find the diagonal of a quadrilateral whose area is 756cm2 and the perpendicular from the opposite vertices are 17cm and 19cm.
In the following, find the value of ‘a’ for which the given points are collinear
(a, 2 – 2a), (– a + 1, 2a) and (– 4 – a, 6 – 2a)
