SOLUTION: 6 equal size rectangles are put together to make 1 big rectangle. The area of one of the small rectangles is 12 square centimeters,and the length of the small rectangle is 4centime

Algebra ->  Rectangles -> SOLUTION: 6 equal size rectangles are put together to make 1 big rectangle. The area of one of the small rectangles is 12 square centimeters,and the length of the small rectangle is 4centime      Log On


   

Question 1031861: 6 equal size rectangles are put together to make 1 big rectangle. The area of one of the small rectangles is 12 square centimeters,and the length of the small rectangle is 4centimeters. What is the area of the larger rectangle. And what is the perimeter of the larger rectangle?
Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
Hi there,
Small rectangle:
Area = 12 cm^2
Length = 4 cm.
Area = Length x Width
Width = Area/Length
Width = 12/4
Width = 3cm.
.........
Putting 6 small rectangles
together to make one large
rectangle.
I have placed them in two rows
of 3.
Length of large rectangle
= 3 x 4 = 12 cm
Width of large rectangle
= 2 x 3 = 6
Area = Length x Width
Area = 12 x 6
Area = 72 cm^2
..........
Perimeter of large rectangle:
Perimeter = 2 x Length + 2 x Width
Perimeter = 2 x 12 + 2 x 6
Perimeter = 36 cm.
Hope this helps :-)