Question

the formula for the perimeter (p) of a rectangle is p = 2l+2w, where l is the length and w is the width. a rectangular swimming pool has a perimeter of 110 meters. the width of the pool is 20 meters. what is the length of the pool?

Explanation:

Step1: Substitute known values into formula

Given $P = 110$, $w=20$, and $P = 2l+2w$, we get $110=2l + 2\times20$.

Step2: Simplify the right - hand side

$110=2l + 40$.

Step3: Isolate the term with $l$

Subtract 40 from both sides: $110 - 40=2l$, so $70 = 2l$.

Step4: Solve for $l$

Divide both sides by 2: $l=\frac{70}{2}=35$.

Answer:

35 meters