Question

The area of a square field is 15184 m square a rectangular field whose length is twice its breadth has its perimeter equal to the perimeter of the square field find the area of the rectangular field

Answer 1

Heya !!!




Area of square field = 15184



( Side)² = 15184




Side = ✓15184 = 123.22 m



Perimeter of square field = 4 × Side



=> 4 × 123.22


=> 492.88 m



Let the Breadth of Rectangular field = B


Length of Rectangular field = 2B m.







According to question,



Perimeter of Rectangular field = Perimeter of square field.







2( L + B) = 492.88



2 ( 2B + B) = 492.88




4B + 2B = 492.88




6B = 492.88



B = 492.88/6



B = 82.14 m



Breadth of Rectangular field = B = 82.14 m



And,


Length of Rectangular field = 2B = 2 × 82.14 = 164.28 m




HOPE IT WILL HELP YOU....... :-)

Answer 2

Area of square field =15184
Side square = 15184
side =√15184=123.22m
perimeter of square field=4×side
=4×123.22
=492.88m
let the breadth of rectangle field =B
let the rectangle field =2B m.
perimeter of rectangle =2(Length+Breadth)=492.88
2(2B+B)=492.88
6B=492.88
B=492.88/6B
B=84.14 m
breadth of rectangle field =2B=82.14 m
And length of rectangle field=2B=2×82.14=164.28 m.


HOPE IT WILL HELP YOU :)