Home
Class 9
MATHS
A floral design on the floor of a buildi...

A floral design on the floor of a building consists of 280 tiles. Each tile is in the shape of a parallelogram of altitude 3 cm and base 5 cm. Find the cost of polishing the design at the rate of 50 paise per `c m^2` .

Text Solution

Verified by Experts

Given, the sides of a triangular tiles are 9 cm, 28 cm and 35 cm.
For each triangular tile, we have
`s=(9+28+35)/(2)=(72)/(2)`
`rArr s=36 cm`
`:.` Area of each triangular tile ` = sqrt(36(36-9)(36-28)(36-35)) " " ` (by Heron's formula)
` = sqrt(36xx27xx8xx1)`
`=sqrt((6)^(2)xx(3)^(2)xx3xx(2)^(2)xx2)=36 sqrt(6) cm^(2)`
`:.` Total are of 16 such tiles `=16xx36xxsqrt(6) cm^(2)`
` =16xx36xx2.45 cm^(2) = 1411.20 cm^(2)`
Total cost of polishing the tiles at the rate of 50 paise per `cm^(2)`
`=Rs. (50)/(100)xx1411.20=Rs. 705.60`
Promotional Banner

Topper's Solved these Questions

  • HERONS'S FORMULA

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 12a|11 Videos

  • HERONS'S FORMULA

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 12b|10 Videos

  • HERONS'S FORMULA

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise|11 Videos

  • CONSTRUCTIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise EXERCISE|36 Videos

  • INTRODUCTION TO EUCLID'S GEOMETRY

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise|8 Videos

Similar Questions

Explore conceptually related problems

Find the area of a parallelogram with base 5 cm and altitude 4.2 cm.

A field in the form a parallelogram has base 15 dam and altitude 8 dam. Find the cost of watering the field at the rate of 50 paise square metre.

A floral design on a floor is made up of 16 tiles which are triangular, the sides of the triangle being 9c m ,\ 28 c m\ a n d\ 35 c m (See Figure). Find the cost of polishing the tiles at the rate of 50\ p a i s e\ p e r\ c m^2 .

The floor of a building consists of 3000 tiles which are rhombus shaped and each of its diagonals are 45 cm and 30 cm in length. Find the total cost of polishing the floor, if the cost per m2 is Rs 4.

A floral design on a floor is made up of 16 tiles which are triangular, the sides of the triangle being 9 cm, 28 cm and 35 cm (see Fig. 12.18). Find the cost of polishing the tiles at the rate of 50 p\ p e r\ c m^2 .

A floral design on a floor is made up of 16 tiles which are triangular, the sides of the triangle being 9 cm, 28 cm and 35 cm (see Fig. 12.18). Find the cost of polishing the tiles at the rate of 50 p"\ "p e r"\ "c m^2 .

The floor of a building consists of 3000 tiles which are rhombus shaped and each of its diagonals are 45 cm and 30 cm in length. Find the total cost of polishing the floor, if the cost per m^2 is Rs 4 .

A hemispherical bowl made of brass has inner diameter 10.5cm. Find the cost of tinplating it on the inside at the rate of Rs. 4 per 100\ c m^2

A room is in the shape of a square of side 4m. Calculate the area of the floor. What is the cost of tiling the floor at the rate of ₹ 24 per square metre?

A cylindrical vessel open at the top has diameter 20cm and height 14cm. Find the cost of tin-plating it on the inside at the rate of 50 paise per hundred square centimetre.