Advertisements
Advertisements
प्रश्न
A triangular shaped glass with vertices at A(– 5, – 4), B(1, 6) and C(7, – 4) has to be painted. If one bucket of paint covers 6 square feet, how many buckets of paint will be required to paint the whole glass, if only one coat of paint is applied
Advertisements
उत्तर
Given the vertices of the triangular glass is A (– 5, – 4), B (1, 6), and C (7, – 4)
Area of triangle ACB = `1/2[(x_1y_2 + x_2y_3 + x_3y_1) - (x_2y_1 + x_3y_2 + x_1y_3)]`
= `1/2[(20 + 42 - 4) - (-28 - 4 - 30)]`
= `1/2[58 - (- 62)]`
= `1/2 [58 + 62]`
= `1/2 xx 120`
= 60 sq. feet
Number of cans to paint 6 square feet = 1
∴ Number of cans = `60/6` = 10
⇒ Number of cans = 10
APPEARS IN
संबंधित प्रश्न
Find the area of a quadrilateral ABCD in which AB = 42 cm, BC = 21 cm, CD = 29 cm, DA =34 cm and diagonal BD =20 cm.
The adjacent sides of a parallelogram ABCD measure 34 cm and 20 cm, and the diagonal AC measures 42 cm. Find the area of the parallelogram.
A triangle and a parallelogram have the same base and the same area. If the sides of the triangle are 13 cm, 14 cm and 15 cm and the parallelogram stands on the base 14 cm, find the height of the parallelogram.
Some measures are given in the adjacent figure, find the area of ☐ABCD.
Find the area of triangle AGF
The area of a triangle is 5 sq. units. Two of its vertices are (2, 1) and (3, −2). The third vertex is (x, y) where y = x + 3. Find the coordinates of the third vertex.
Find the area of an equilateral triangle whose perimeter is 180 cm
The perimeter of an isosceles triangle is 32 cm. The ratio of the equal side to its base is 3 : 2. Find the area of the triangle.
The sides of a quadrilateral ABCD are 6 cm, 8 cm, 12 cm and 14 cm (taken in order) respectively, and the angle between the first two sides is a right angle. Find its area.
The perimeter of a triangle is 50 cm. One side of a triangle is 4 cm longer than the smaller side and the third side is 6 cm less than twice the smaller side. Find the area of the triangle.
