Question

a rectangle has a width of 43 centimeters and a perimeter of 200 centimeters. what is the rectangles length? the length is cm.

Explanation:

Step1: Recall perimeter formula

The perimeter formula of a rectangle is $P = 2(l + w)$, where $P$ is perimeter, $l$ is length and $w$ is width. Given $P = 200$ cm and $w=43$ cm.

Step2: Substitute values into formula

$200 = 2(l + 43)$.

Step3: Solve for $l + 43$

Divide both sides of the equation by 2: $\frac{200}{2}=\frac{2(l + 43)}{2}$, so $100=l + 43$.

Step4: Solve for $l$

Subtract 43 from both sides: $l=100 - 43$.

Answer:

57