The perimeter of a rectangle is equal to the perimeter of a square. If the length and the breadth of the rectangle are 10 cm and 8 cm, respectively, then what will be the area of the square?
Answer & explanation
Correct answer: option 3
We know that,
Perimeter of rectangle = 2(L + B)
Perimeter of square = 4(side)
Area of square = a2
We have,
The perimeter of a rectangle = The perimeter of a square
Length = 10 cm
Breadth = 8 cm
According to the question,
= Perimeter of rectangle = 2(L + B) = 2(10 + 8) = 2 x 18 = 36 cm
we know that,
= 36 = 4(side)
= side = 9 cm
= Area of square = (side)2 = side x side = 9 x 9 = 81 cm2