Sara has two identical pieces of thin wires of 12cm long She bends one to form a square and - Maths -

Question

Sara has two identical pieces of thin wires of 12cm long She
bends one to form a square and the other to form a rectangle Which
one would have a greater AREA ? (
EXPERTS TO ANSWER FAST, VERY
URGENT )
A) SQUARE
B) RECTANGLE
C) BOTH HAVE THE SAME AREA

Amit kumar · Accepted Answer

Since the perimeter of two figures is same Thus length of side , a=
perimeter/4 = 12/4 = 3Now area of square = a2 = 32 =9Let the length
and breadth of rectangle formed be b and cPerimeter of rectangle =
length of rope = 12 = 2(b+c)⇒b+c =12/2 =6Area of rectangle =
b×c = b(6-b) = 6b - b2 Now maximum value of this expression
is at b=3 which is length of squareThus area of rectangle is
<area of squareThus option (A) is correct

Sara has two identical pieces of thin wires of 12cm long. She bends one to form a square and the other to form a rectangle. Which one would have a greater AREA ? ( EXPERTS TO ANSWER FAST, VERY URGENT .) A) SQUARE B) RECTANGLE C) BOTH HAVE THE SAME AREA

Sara has two identical pieces of thin wires of 12cm long. She bends one to form a square and the other to form a rectangle. Which one would have a greater AREA ? ( EXPERTS TO ANSWER FAST, VERY URGENT .)

A) SQUARE

B) RECTANGLE

C) BOTH HAVE THE SAME AREA