Question

The area of a square field is 5625 m². A rectangular field whose length is twice its breadth and has its perimeter equal to the perimeter of the square field.  Find the dimensions of the rectangle.​

Answer 1

Answer:

Step-by-step explanation:

given,

the area of square is=5625m²

s×s=5625

s²=5625

s=√5625

s=75

according to problem,

l=2x

b=x

we know that,

perimeter of square=perimeter of rectangle

4s=2(l+b)

4×75=2(2x+x)

300=6x

x=300/6

x=50

from problem,

l=2x

=2×50

=100

b=x

=50

therefore length is 100

              breadth is 50

area of rectangle = l × b

                           = 100 × 50

                           = 5000m²