To find the area of a rectangle, we multiply the length by the width . We have:
A square is a special rectangle where the edges have the same length. Thus, a square of side length will have an area of
The area of a rectangle with length and breadth is . In a rectangle, the measures of opposite sides are always equal.
Calvin's desk at work measures feet by feet. What is the area (in feet) that his desk occupies?
The length is feet, while the breadth is feet.
Therefore, the area of the desk is .
What is the side length of a square, which has the same area as a 4 by 9 rectangle?
The area of the rectangle is . So, the area of the square is also 36.
If the side length of the square is , then we have , or that (reject negative ).
The area of a square is equal to the perimeter of the square. What is its side length?
Let the side length be . Then, we have . Solving this, we get , and so . We reject the case of , to obtain .