A kite in the shape of a square with a diagonal 32 cm and an isosceles triangles of base 8 cm and sides 6 cm each is to be made of three different shades as shown in the given figure. How much paper of each shade has been used in it?
We know that
Area of square = 1/2(diagonal)2
`"Area of the given kite "= 1/2(32 cm)^2 = 512 cm^2`
Area of 1st shade = Area of 2nd shade = 512/2 = 256 cm2
Therefore, the area of paper required in each shape is 256 cm2.
For IIIrd triangle
By Heron’s formula,
`"Area of triangle "=sqrt(s(s-a)(s-b)(s-c))`
`"Area of 3rd triangle "=sqrt(10(10-6)(10-6)(10-8))`
= (8 x 2.24) cm2
= 17.92 cm2
Area of paper required for IIIrd shade = 17.92 cm2
A park, in the shape of a quadrilateral ABCD, has ∠C = 90°, AB = 9 m, BC = 12 m, CD = 5 m and AD = 8 m. How much area does it occupy?
Find the area of a quadrilateral ABCD in which AB = 3 cm, BC = 4 cm, CD = 4 cm, DA = 5 cm and AC = 5 cm.
Radha made a picture of an aeroplane with coloured papers as shown in the given figure. Find the total area of the paper used.
A triangle and a parallelogram have the same base and the same area. If the sides of triangle are 26 cm, 28 cm and 30 cm, and the parallelogram stands on the base 28 cm, find the height of the parallelogram.