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error analysis describe the error in finding the perimeter of the recta…

Question

error analysis describe the error in finding the perimeter of the rectangle. p = 2ℓ+2w = 2(4)+2(3) = 14 the perimeter is 14 units. the is not calculated correctly. correct the error. the correct measure is units, so the correct perimeter is units.

Explanation:

Step1: Identify length and width errors

The length $\ell$ was wrongly taken as 4 and width $w$ as 3. By observing the graph, the length $\ell$ should be 5 (from $x = - 1$ to $x = 4$) and width $w$ should be 2 (from $y = 0$ to $y = 2$).

Step2: Use perimeter formula

The perimeter formula for a rectangle is $P = 2\ell+2w$. Substitute $\ell = 5$ and $w = 2$ into the formula: $P=2\times5 + 2\times2$.

Step3: Calculate the perimeter

$P = 10+4=14$. But the initial error was in measuring the side - lengths. The correct side - lengths give $P=2\times5+2\times2 = 14$ units. The error was in mis - identifying the length and width of the rectangle. The correct length is 5 units and correct width is 2 units.

Answer:

The length and width; 5; 14