Question

Perimeter of a square is 96m. A rectangle, whose length is four times its breadth has its equal area to the area of the square. Find the perimeter of the rectangle

Answer 1

Answer:

b=12

l=48

Explanation:

p=96

that means side =24

that means area =576

now area of rectangule =4b^2

that means 4b^2=576

by solving b=12

l=48

Answer 2

Answer:

Breadth=12m

Length=48m

Explanation:

Perimeter of the square = 96m

therefore, length of one side = 96/4m

=24m

Area of the square = 24m*24m

=576 m square

Area of the rectangle = Area of square

=576m square

Let breadth of the rectangle be x

therefore length = 4x

According to the question

x*4x = 576m square

4x square = 576 m square

x square = 576/4 m square

x square = 144m square

Square rooting both the sides

x=12m

Breadth=12m

Length=48m