A. 30m
B. 40m
C. 50m
D. 60m
Explanation:
Each side of the square = 160/4m =40 cm
2(l+b) = 160
=> (l+b) = 80 (40) 2 –lb = 100
=> lb =(1600 – 100) = 1500 (l-b) 2 = (l+b) 2 – 4lb
= (80) 2 -4 x 1500 =(6400 -6000) = 400 (l-b) = 20
Therefore, l+b = 80, l-b =20
=> 2l =100
=> l= 50m
Related Mcqs:
- The area of the square formed on the diagonal of a rectangle as its side is 108 1/3 % more than the area of the rectangle. If the perimeter of the rectangle is 28 units, find the difference between the sides of the rectangle?
A. 8
B. 12
C. 6
D. 2 - The area of a rectangle is thrice that of a square. The length of the rectangle is 40 cm and the breadth of the rectangle is (3/2) times of the square. The side of the square in cm is__________?
A. 15
B. 20
C. 30
D. 60 - The area of a square is 4096 sq cm. Find the ratio of the breadth and the length of a rectangle whose length is twice the side of the square and breadth is 24 cm less than the side of the square.
A. 18 : 5
B. 7 : 16
C. 5 : 14
D. None of these - The parameter of a square is double the perimeter of a rectangle. The area of the rectangle is 480 sq cm. Find the area of the square.
A. 200 sq cm
B. 72 sq cm
C. 162 sq cm
D. Cannot be determined - The length of a rectangle is two – fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 1225 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units?
A. 140
B. 156
C. 175
D. 214 - The parameter of a square is equal to the perimeter of a rectangle of length 16 cm and breadth 14 cm. Find the circumference of a semicircle whose diameter is equal to the side of the square. (Round off your answer to two decimal places)?
A. 23.57 cm
B. 47.14 cm
C. 84.92 cm
D. 94.94 cm - The area of a rectangle is 12 sq.metres and it’s length is 3 times that of it’s breadth. What is the perimeter of the rectangle?
A. 14m
B. 18m
C. 4m
D. None of these - The length of rectangle is thrice its breadth and its perimeter is 96 m, find the area of the rectangle?
A. 432 sq m
B. 356 sq m
C. 452 sq m
D. 428 sq m - The perimeter of one square is 48 cm and that of another is 20 cm. Find the perimeter and the diagonal of a square which is equal in area to these two combined?
A. 15√2 cm
B. 13√2 cm
C. 16√2 cm
D. 17√2 cm - The length of a rectangle is twice its breadth, if length is decreased by 5 cm and the breadth is increased by 5 cm. The length of the rectangle is_________?
A. 20 cm
B. 30 cm
C. 40 cm
D. 50 cm
