Bissoy.com
Doctors Medicines MCQs Q&A

The length of a rectangular field F is 3 km greater than the side of a square field M , and the width of field F is 3 km less then the side of field M. If the area of field M is m2 square km, what is the area of field F?

The length of a rectangular field F is 3 km greater than the side of a square field M , and the width of field F is 3 km less then the side of field M. If the area of field M is m2 square km, what is the area of field F? Correct Answer m2 +9

Side of field M = √m2  = m km Length of field F = (m + 3) km Width of field F = (m - 3) km So, area of field F = Length x Width = (m + 3) x (m - 3) =  m2  - 9 

Related Questions

The perimeter of a rectangular field is fourth times of the perimeter of a square field. The ratio of the length of the rectangular field to the side of the square field is 6:1 and the diagonal of the square is 5√2 cm. Then, the area of the square field is what percentage of the area of the rectangular field?
A rectangular field has 4 cm length and 3 cm width. From the corner of this field, a small square of side 1 cm is cut off. What will be the ratio of the length of the boundary of the rectangular field before cutting square and length of the boundary of the rectangular field after cutting square?  
From the given table, what is the percentage of students scoring 40 or more, but less than 70. Scores Less than 20 Less than 30 Less than 40 Less than 50 Less than 60 Less than 70 Less than 80 No. of Students 12 19 22 31 38 46 50
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.
Given below are three quantities named 1, 2 and 3. Based on the given information, you have to determine the relationship between the three quantities. You should use the given data and knowledge of Mathematics to choose between the possible answer. Quantity 1: Area of the innermost square. A square is made by joining the midpoints of a square of area 200 sq. m. The outermost square is called Square 1, The square inside it is called Square 2. The next square is made by joining midpoints of square 2 and is called Square 3. This process goes on. Square 5 is the innermost square. Quantity 2: A man starts with a speed of 10 km/hr. He increases his speed by 10 km/hr every hour at the start and drives at the same speed for that hour. If he traveled a total distance of 550 km. Find the time Quantity 3: Height of cylinder Its volume is equal to the volume of a cone whose radius is 14 cm and height is 39.3 cm. The radius of the cylinder is 14 cm
Triangles ABC, PQR, and XYZ are similar triangles, such that the length of AB is 60% less than the length of side PQ. If the length of side PQ is 60% more than the length of side XY, then the area of ΔABC is what percentage less than the area of ΔXYZ? 
From the following table, how many patients were in the age group 40 – 60? Age (years) Less than 10 Less than 20 Less than 30 Less than 40 Less than 50 Less than 60 Less than 70 No. of patients 11 15 22 29 35 45 50
The length of each side of square A is increased by 100 percent to make square B. Again the length of each side of square B is increased by 50 percent to make square C. By what percent is the area of square C greater than the sum of the areas of square A and B?
The average area of 3 square rooms I, II, and III are 1600 square meters. If one rectangular room(IV) area is added then the average area becomes 1400 square meters. If another room V, whose area is 400 square meters more than the IV room, replaces room I, then the average area of II, III, IV, and V room becomes 1350 square meters. Find the area of I room.
The area of a square field is 256 m2 and a rectangular lawn, whose width is \(\frac 5 8\) of the side of the square field, have the same perimeter as that of the square field. What is the area (in m2) of the rectangular lawn?