Question

the length and the breadth of a rectangle are 40 cm and 10cm respectively find the perimeter of a square of area equal to that of the rectangle

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Answer 1

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In case of rectangle,

Length = 40 cm

Breadth = 10 cm

Area of rectangle = length × breadth

• Area of rectangle = ( 40 × 10 ) ${cm}^{2}$
• area = 400 cm²

now, According to the question

A square is also the same area

area of square = area of rectangle [Given]

• area of square = 400 ${cm}^{2}$

therefore the Side of square = √area

Length of Side of square = √400${cm}^{2}$

Length of side of square = 20 cm

• perimeter of square = 4× side
• 4 ×20
• 80 cm

Required answer 80 cm .