Bissoy.com
Doctors Medicines MCQs Q&A

A boundary wall around a rectangular plot is constructed at a total cost of Rs. 46000 at the rate of Rs. 200 per metre. What is the area of the plot if the respective ratio between the breadth and the length of the plot is 10 : 13 ? (in sq. metre)

A boundary wall around a rectangular plot is constructed at a total cost of Rs. 46000 at the rate of Rs. 200 per metre. What is the area of the plot if the respective ratio between the breadth and the length of the plot is 10 : 13 ? (in sq. metre) Correct Answer 3250 sq. m<sup>2</sup>

Total cost to construct a boundary wall around a rectangular plot = Rs. 46000
Rate of construction per metre = Rs. 200
Perimeter of rectangular plot = $$\frac{46000}{200}$$   = 230 m
Let the length and breadth of rectangular plot be 13x metre and 10x metre respectively
$$\eqalign{ & \therefore 2\left( {13x + 10x} \right) = 230 \cr & \Rightarrow 2 \times 23x = 230 \cr & \Rightarrow x = \frac{{230}}{{2 \times 23}} \cr & \Rightarrow x = 5 \cr} $$
∴ Length = 13 × 5 = 65 cm
Breadth = 10 × 5 = 50 m
∴ Area of plot = 65 × 50 = 3250 sq. m2

Related Questions

The selling price of plot is directly proportional to the square of area of plot in m2. If the cost price of square shaped plot is Rs. 50000 and the profit percent of a dealer is 25% on selling square shaped plot then find the cost price of rectangular shaped plot if the dealer gains 50% on selling of rectangular plot where the length and breadth of rectangular plot is 30 m and 20 m while the side length of square plot is 20 m.
There is a rectangular plot whose length is 35 metre and breadth is 25 metre. There are two paths middle of the plot and parallel to length and breadth of the plot. The rest of the rectangular is the lawn and the Width of the path is 5 metre. What is the area of the lawn?
A rectangular plot has a concrete path running in the middle of the plot parallel to the breadth of the plot. The rest of the plot is used as a lawn which has an area of 420 sq. m. If the width of the path is 4 m and the length of the plot is greater than its breadth by 36 m, what is the area of the rectangular plot? 
The following questions are accompanied by three statements (I), (II), and (III). You have to determine which statements(s) is/are sufficient/necessary to answer the questions. What is the cost of fencing a rectangular plot? I. The length of the plot is thrice its breadth. II. The cost of fencing is Rs. 16 per metre. III. Ratio between breadth and length of the plot is 1 : 3.
Each question below is followed by two statements I and II. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer. What is the total cost of gardening the park? I. In a rectangular plot of length 120 metre and breadth 80 metre a circular park is made in it's centre surrounded by a pavement of thickness 3 metre. II. The diameter of the park including the pavement is 20 metre and the cost of gardening the park is Rs.85 per m2.
The length of a rectangular plot is thrice its breadth. If the area of the rectangular plot is 7803 square metre, what is the breadth of the rectangular plot?
Find the diagonal of a square plot whose area is 600 m2 more than the area of a rectangular plot that has a length and breadth ratio of 5 : 2.  A side of the square plot is 60% larger than the breadth of the rectangular plot.
The length of a rectangular plot is five times of its breadth. If the area of the rectangular plot is 2000 m2 ,then what is the breadth of the rectangular plot?
The length of a rectangular plot is thrice its breadth. If the area of the rectangular plot is 7803 sq. mtr, what is the breadth of the rectangular plot ?
The rectangular plot whose length and breadth are in the respective ratio 5 : 3 has a length of 65 m. Find the cost of fencing the plot leaving a gap of 3m for the gate at Rs. 90 per metre.