The width of a rectangular shed is 8 feet, and its length is 14 feet. Three of these expressions equal the perimeter of the garden, in feet. Which expression does NOT?
8 + 14 + 8 + 14
2 ⋅ 8 + 2 ⋅ 14
8 + 14
2(8 + 14)
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The width of a rectangular shed is 8 feet, and its length is 14 feet. Three of these expressions equal the perimeter of the garden, in feet. Which expression does NOT?
8 + 14 + 8 + 14
2 ⋅ 8 + 2 ⋅ 14
8 + 14
2(8 + 14)
The expression that does NOT equal the perimeter of the garden is:
8 + 14
Explanation:
The perimeter of a rectangle is calculated using the formula:
[ text{Perimeter} = 2 times (text{Length} + text{Width}) ]
For the shed, that would be:
[ 2 times (14 + 8) = 2 times 22 = 44 , text{feet} ]
Now, let’s evaluate each expression:
1. 8 + 14 + 8 + 14 = 44 feet
2. 2 ⋅ 8 + 2 ⋅ 14 = 16 + 28 = 44 feet
3. 8 + 14 = 22 feet (this does not equal the perimeter)
4. 2(8 + 14) = 2 × 22 = 44 feet
Thus, the expression 8 + 14 is the one that does not equal the perimeter. Keep up the good work with your studies! If you have any more questions, feel free to ask!