25 vote
The area (in m2) of the square which has the same perimeter as a rectangle whose length is 56 m and is 4 times its breadth is:
The area (in m2) of the square which has the same perimeter as a rectangle whose length is 56 m and is 4 times its breadth is:
1). 1000
2). 1225
3). 1600
4). 1024
1 answers
28 vote
Solution:
Given: Length, l = 56 m and
Length, l = 4 × breadth
Breadth, b = 56/4 = 14m
It's given that,
Perimeter of square = Perimeter of rectangle
= 2(l + b)
= 2(56 + 14) = 2 × 70
= 140 m
Therefore perimeter of square = 4a = 140m
(where, 'a' is the side of the square)
So, a = 140/4
a = 35m
Area of the square = a² = 35×35
= 1225 m²
The correct option is 2). 1225
