Question

the area of square field is 841 metre square a rectangular field whose length is twice its breadth has its perimeter equal to the perimeter of square field find the area of rectangular field

Answer 1

Given,

Area of square field = side^2

=》 841 m^2 = side^2

=》 √(841) = side of square

=》 side of square = 29m

According to question,

(Length = 2 × breadth) of rectangular field
And

Perimeter of rectangular field = perimeter of square field

=》 2(Length + Breadth) = 4 × side of square

=》 2(2×breadth + breadth) = 4 × 29

=》 2 (3 × breadth) = 116 m

=》 6 × breadth = 116m

=》 breadth of rec. field = 116/6m
And

Length = 2 × breadth = 2 × 116/6 = 116/3 m

Now

Area of rec. field = Length × breadth
= 116/3 × 116/6 = 747.56 m^2 (approx)