If x and y are the two sides of any rectangle/square, then the perimeter = 2x + 2y. The area = x * y.
When doubled, the perimeter = 4x + 4y and the area = 2x * 2y.
Use this analogy to answer your questions.
consider pairs of rectangles where the dimensions are doubled (rectangles with all sides X2 and all sides X4, or those with all sides X3 and all sides X6. what happens to the perimeter when you double each of the dimensions of a rectangle?, Then what happens to the area? Did perimeter and area of rectangles change in the same way it did for squares?
2 answers
Which of the following rectangles has the same perimeter as the one shown above?
A.
a rectangle with a height of 5 cm and width of 3 cm
B.
a rectangle with a height of 9 cm and width of 2 cm
C.
a rectangle with a height of 7 cm and a width of 3 cm
D.
a rectangle with a height of 8 cm and a width of 5 cm
A.
a rectangle with a height of 5 cm and width of 3 cm
B.
a rectangle with a height of 9 cm and width of 2 cm
C.
a rectangle with a height of 7 cm and a width of 3 cm
D.
a rectangle with a height of 8 cm and a width of 5 cm
1 answer