Phillipe plans for his spring garden the squares and rectangles on the square grid represent garden plots for different types of vegetables the small squares have length x the rectangles that border the large square have length y and width x
determine whether each statement is true
select true or false for each statement
an expression that represents the area of each large square is y^2 TRUE FALSE
an expression that represents total area of all the squares is 6x^2 TRUE FALSE
an expression that represents total area of the rectangle is 6x + 6y TRUE FALSE
an expression that represents total area of all the garden plots is 24x^2 TRUE FALSE
The correct answers are:
an expression that represents the area of each large square is y^2
- FALSE. The area of each large square is actually y*x since the width is x and the length is y.
an expression that represents total area of all the squares is 6x^2
- FALSE. The expression that represents the total area of all the squares is actually 6*x^2 since there are 6 squares.
an expression that represents total area of the rectangle is 6x + 6y
- TRUE. Each rectangle has a width of x and a length of y, so the total area of all the rectangles would be 6*(x*y) = 6xy.
an expression that represents total area of all the garden plots is 24x^2
- FALSE. The expression that represents the total area of all the garden plots would be 6xy + 6x^2 since it includes both the area of the rectangles and the squares.