The perimeter of a square is equal to the perimeter of a rectangle. If width of the rectangle is 14 cm and area of the square is 625 cm2, then find the area of the rectangle.
Answer & explanation
Correct answer: option 3
The perimeter of a square is equal to the perimeter of a rectangle.
We have,
Area of the square = 625
So, side2 = 625
side = 25
Width of the rectangle = 14 cm
= 4 × side = 2 (l + b)
= 4 × 25 = 2 (l + 14)
= 50 = l + 14
l = 36
Now the area of the rectangle = l × b
= 36 × 14 = 504cm2