Advertisements
Advertisements
प्रश्न
In ☐ABCD, l(AB) = 13 cm, l(DC) = 9 cm, l(AD) = 8 cm, find the area of ☐ABCD.
Advertisements
उत्तर
Draw perpendicular from C to line AB. Name the point E.
CE = AD = 8 cm
EB = AB − AE = AB − CD = 13 − 9 = 4cm
∴ Area of of a trapezium = `1/2 xx "sum of lengths of parallel sides" xx h`
A (☐ABCD) = `1/2 xx [l(AB) + l(DC)] xx l(AD)`
= `1/2 xx (13 + 9) xx 8`
= `1/2 xx 22 xx 8`
= 11 x 8
= 88 sq. cm
∴ The area of ☐ABCD is 88 sq. cm.
संबंधित प्रश्न
Find values of k if area of triangle is 4 sq. units and vertices are (−2, 0), (0, 4), (0, k).
Find the area of triangle whose vertices are `(at_1^2, 2at_1), (at_2^2, 2at_2)` and `(at_3^2, 2at_3)`.
Find the area of a triangle whose sides are respectively 150 cm, 120 cm and 200 cm ?
Find the third vertex of a ΔABC if two of its vertices are B(–3, 1) and C(0, –2) and its centroid is at the origin.
For what value of x are the points A(−3, 12), B(7, 6) and C(x, 9) collinear.
Find a relation between x and y, if the points A(x, y), B(–5, 7) and C(–4, 5) are collinear.
Using determinants, find the values of k, if the area of triangle with vertices (–2, 0), (0, 4) and (0, k) is 4 square units.
A field is in the shape of a right angled triangle whose base is 25 m and height 20 m. Find the cost of levelling the field at the rate of ₹ 45 per sq.m2
Show that the points (a + 5, a – 4), (a – 2, a + 3) and (a, a) do not lie on a straight line for any value of a.
Triangles having the same base have equal area.
