Question

the area of rectangle is 1936 square metre if the length of the rectangle is 4 times its breadth find the dimensions of the rectangle

Answer 1

Let the breadth of rectangle = x m
The length of rectangle is 4 times its breadth
Therefore 
length = 4x m 

Area of rectangle =  length * breadth
1936m² = 4x * x
x² = 1936/4
x² = 484
x = √484
x = 22 cm

The breadth of rectangle = x = 22 m
The length of rectangle = 4x = 4*22 = 88 m

The dimensions of rectangle are 88 m and 22 m

Answer 2

Let the breadth be x and length be 4x

Therefore,
Area of rectangle = l×b
1936 = x × 4x
1936 = 4x²
1936/4 = x²
484 = x²
x = √ 484
x = 22

Therefore, dimensions are :
Breadth = 22 m
Length = 22 × 4 = 88m