Advertisements
Advertisements
Question
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 the given figure). Find the cost of polishing the tiles at the rate of 50p per cm2.
Advertisements
Solution
It can be observed that
Semi-perimeter of each triangular-shaped tile,
`s=(35+28+9)/2=36cm`
By Heron’s formula,
`"Area of triangle "=sqrt(s(s-a)(s-b)(s-c))`
`"Area of each tile "=[sqrt(36(36-35)(36-28)(36-9))]cm^2`
`=[sqrt(36xx1xx8xx27)]cm^2`
`=36sqrt6 cm^2`
= (36 x 2.45) cm^2
= 88.2 cm2
Area of 16 tiles = (16 × 88.2) cm2= 1411.2 cm2
Cost of polishing per cm2 area = 50 p
Cost of polishing 1411.2 cm2 area = Rs (1411.2 × 0.50) = Rs 705.60
Therefore, it will cost Rs 705.60 while polishing all the tiles.
RELATED QUESTIONS
A park, in the shape of a quadrilateral ABCD, has ∠C = 900, AB = 9 m, BC = 12 m, CD = 5 m and AD = 8 m How much area does it occupy?
If each side of a triangle is doubled, the find percentage increase in its area.
The sides of a triangle are 7 cm, 9 cm and 14 cm. Its area is
The base and hypotenuse of a right triangle are respectively 5 cm and 13 cm long. Its area is ______.
If the length of a median of an equilateral triangle is x cm, then its area is
A square and an equilateral triangle have equal perimeters. If the diagonal of the square is \[12\sqrt{2}\] cm, then area of the triangle is
A land is in the shape of rhombus. The perimeter of the land is 160 m and one of the diagonal is 48 m. Find the area of the land.
The adjacent sides of a parallelogram measures 34 m, 20 m and the measure of the diagonal is 42 m. Find the area of parallelogram
The length of each side of an equilateral triangle having an area of `9sqrt(3)`cm2 is ______.
The area of the equilateral triangle is `20sqrt(3)` cm2 whose each side is 8 cm.
