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 correct answer is Option (3) → 504 cm2
The side of the square comes from its area; its perimeter then fixes the perimeter of the rectangle, from which the length follows.
Side of the square \(=\sqrt{625}=25\,\mathrm{cm}\), so its perimeter \(=4\times25=100\,\mathrm{cm}\)
Rectangle: \(2(l+14)=100\), so \(l+14=50\) and \(l=36\,\mathrm{cm}\)
Area of the rectangle \(=36\times14=504\,\mathrm{cm^2}\)