sid has a rectangular wooden deck that measures 348 centimeters by 792 centimeters. He build an extension that makes it 126 centimeters longer. What is the perimeter of the deck now?
You simply add 348x2 + 792x2 + 126x2
2532
To find the perimeter of the deck after the extension, we need to calculate the perimeter of the original rectangular deck and add the additional length of the extension.
The perimeter of a rectangle is found by adding up the lengths of all its sides. In this case, we have a rectangle with dimensions of 348 centimeters by 792 centimeters.
To find the perimeter of the original rectangle, we add up the lengths of all four sides:
Perimeter = Length + Length + Width + Width
Perimeter = 348 cm + 348 cm + 792 cm + 792 cm
Perimeter = 2(348 cm + 792 cm) [distributive property]
Perimeter = 2(1140 cm)
Perimeter = 2280 cm
Therefore, the perimeter of the original rectangular deck is 2280 centimeters.
Now, we need to add the additional length of the extension, which is 126 centimeters.
Total perimeter = Perimeter of original deck + Additional length
Total perimeter = 2280 cm + 126 cm
Total perimeter = 2406 cm
Therefore, the perimeter of the deck after the extension is 2406 centimeters.
It would help if you would proofread your work before you post it.
Add 126 to whichever dimension is the length, and then add 2 times it to 2 times the other dimension.