Area, SM-Bank 024

A rectangle has a length of 25 cm and a width of 20 cm.

A square has the same perimeter as this rectangle.

What is the area of this square in square centimetres? (2 marks)

--- 4 WORK AREA LINES (style=lined) ---

Show Answers Only

\(506.25\ \text{cm}^2\)

Show Worked Solution

\(\text{Perimeter of rectangle}\)	\(=(2\times 25)+(2\times 20)\)
	\(=90\ \text{cm}\)

\(\therefore\ \text{Side length of square}\)	\(=\dfrac{90}{4}\)
	\(=22.5\ \text{cm}\)

\(\therefore\ \text{Area of square}\)	\(=\text{(side)}^2\)
	\(=22.5^2\)
	\(=506.25\ \text{cm}^2\)