Advertisements
Advertisements
Question
A rhombus sheet, whose perimeter is 32 m and whose one diagonal is 10 m long, is painted on both sides at the rate of Rs 5 per m2. Find the cost of painting.
Advertisements
Solution
Given that,
Perimeter of a rhombus = 32 m
We know that,
Perimeter of rhombus = 4 × side
⇒ 49 = 32m
⇒ a = 8 m
Let AC = 10 = OA = `1/2`𝐴𝐶
= `1/2`×10
= 5𝑚
By using Pythagoras theorem:
∴`OB^2=AB^2-OA^2`
`⇒OB=sqrt(AB^2-OA^2)`
`⇒OB=sqrt(8^2-5^2)`
`⇒OB=sqrt(64-25)`
`⇒OB=sqrt(39m)`
Now, BD = 2OB = 2√39𝑚
∴ Area of sheet = `1/2`×𝐵𝐷×𝐴𝐶=`1/2`×2`sqrt(39)xx10sqrt(39)m^2`
∴ Cost of printing on both sides at the rate of Rs 5 per `m^2` = Rs 2 ×10`sqrt(39)`×5
= Rs. 625.00
APPEARS IN
RELATED QUESTIONS
Find the areas of the given plot. (All measures are in metres.)
Find the area of the triangle formed by the points
(1, – 1), (– 4, 6) and (– 3, – 5)
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
The area of triangle formed by the points (− 5, 0), (0, – 5) and (5, 0) is
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.
Using Heron’s formula, find the area of a triangle whose sides are 1.8 m, 8 m, 8.2 m
An advertisement board is in the form of an isosceles triangle with perimeter 36 m and each of the equal sides are 13 m. Find the cost of painting it at ₹ 17.50 per square metre.
The cost of levelling the ground in the form of a triangle having the sides 51 m, 37 m and 20 m at the rate of Rs 3 per m2 is Rs 918.
A rhombus shaped sheet with perimeter 40 cm and one diagonal 12 cm, is painted on both sides at the rate of Rs 5 per m2. Find the cost of painting.
A design is made on a rectangular tile of dimensions 50 cm × 70 cm as shown in the following figure. The design shows 8 triangles, each of sides 26 cm, 17 cm and 25 cm. Find the total area of the design and the remaining area of the tile.
