Advertisements
Advertisements
Question
The floor of a room is of size 6 m x 5 m. Find the cost of covering the floor of the room with 50 cm wide carpet at the rate of Rs.24.50 per metre. Also, find the cost of carpeting the same hall if the carpet, 60 cm, wide, is at the rate of Rs.26 per metre.
Solution
Area of floor of a room
= 6m x 5m
= 30m2
Let the length of the carpet that is 50cm wide be l m.
∴ Area of carpet
= length x breadth
= l m x 50cm
= l x 0.5m2
Since area of carpet
= Area of floor of a room
⇒ l x 0.5 = 30
⇒ l `(30)/(0.5)`
= 60m
∴ Cost of carpet at Rs.24.50per mate
= Rs.60 x 24.50
= Rs.1470
Let the length of the carpet that is 60cm wide be L m.
∴ Area of carpet
= length x breadth
= l m x 60cm
= l x 0.6m2
Since area of carpet
= Area of floor of a room
⇒ l x 0.6 = 30
⇒ l `(30)/(0.6)`
= 50m
∴ Cost of carpet at Rs.26per mate
= Rs.50 x 26
= Rs.1300.
APPEARS IN
RELATED QUESTIONS
The diagonal of a quadrilateral shaped field is 24 m and the perpendiculars dropped on it from the remaining opposite vertices are 8 m and 13 m. Find the area of the field.
The area of a parallelogram is y cm2 and its height is h cm. The base of another parallelogram is x cm more than the base of the first parallelogram and its area is twice the area of the first. Find, in terms of y, h, and x, the expression for the height of the second parallelogram.
The perimeter of a rectangular field is `3/5`km. If the length of the field is twice its width; find the area of the rectangle in sq. meters.
Trapezium given below; find its area.
A wire when bent in the form of a square encloses an area of 484 m2. Find the largest area enclosed by the same wire when bent to from:
- An equilateral triangle.
- A rectangle of length 16 m.
The length and the breadth of a rectangle are 6 cm and 4 cm respectively. Find the height of a triangle whose base is 6 cm and the area is 3 times that of the rectangle.
Find the area and perimeter of a square plot of land, the length of whose diagonal is 15 meters. Given your answer correct to 2 places of decimals.
Find the diagonal of a quadrilateral whose area is 756cm2 and the perpendicular from the opposite vertices are 17cm and 19cm.
In the following, find the value of ‘a’ for which the given points are collinear
(2, 3), (4, a) and (6, – 3)
PQRS is a rectangle formed by joining the points P(– 1, – 1), Q(– 1, 4), R(5, 4) and S(5, – 1). A, B, C and D are the mid-points of PQ, QR, RS and SP respectively. Is the quadrilateral ABCD a square, a rectangle or a rhombus? Justify your answer.
